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Question 1179952: So if g(x) = f(x − d) + c , determine the values of d and c
What would be the values of c and d?
Please check document for graph visual! https://docs.google.com/document/d/1NONOUm0gHlTx0s5kcF4sRhI4TnzrKbGWR6Y0CZRdsHE/edit?usp=sharing
Click here to see answer by MathLover1(20849)   |
Question 1180967: This is more polynomials but I could not find a section for that. im sorry if there is.its my first time on here.
for what real values of k does the equation x^3 - 2x^2 - 4x + k = 0 have at least one root strictly between -2 and 0?
thank you so much for reading this and answering if you do. :)
Click here to see answer by ikleyn(52778)  |
Question 1181204: I am trying to solve this problem and unfortunately, I am self-teaching myself so I don't have a lot of direction or advice on how to figure this out. Any tips would be great, thank you!!
[PROBLEM]
Extreme Protection, Inc. manufactures helmets for skiing and snowboarding. The fixed costs for one model of helmet are $7200 per month. Materials and labor for each helmet of this model are $50, and the company sells this helmet to dealers for $85 each. (Let x represent the number of helmets sold. Let C, R, and P be measured in dollars.)
(a) For this helmet, write the function for monthly total costs C(x).
C(x) =
(b) Write the function for total revenue R(x).
R(x) =
(c) Write the function for profit P(x).
P(x) =
(d) Find C(200).
C(200) =
Interpret C(200).
For every additional helmet produced the cost increases by this much.
This is the cost (in dollars) of producing 200 helmets.
When this many helmets are produced the cost is $200.
For each $1 increase in cost this many more helmets can be produced.
Correct: Your answer is correct.
Find R(200).
R(200) =
Interpret R(200).
For every additional helmet produced the revenue generated increases by this much.
This is the revenue (in dollars) generated from the sale of 200 helmets.
For each $1 increase in revenue this many more helmets can be produced.
When this many helmets are produced the revenue generated is $200.
Incorrect: Your answer is incorrect.
Find P(200).
P(200) =
Interpret P(200).
This is the profit (in dollars) when 200 helmets are sold, but since it is negative it means that the company loses money when 200 helmets are sold.
For each additional helmet sold the profit (in dollars) increases by this much, but since it is negative it means that the company needs to decrease the number of helmets sold in order to make a profit.
For each additional helmet sold the profit (in dollars) increases by this much, but since it is positive it means that the company is producing too many helmets.
This is the profit (in dollars) when 200 helmets are sold, and since it is positive it means that the company makes money when 200 helmets are sold.
(e) Find C(300).
C(300) =
Interpret C(300).
When this many helmets are produced the cost is $300.
For each $1 increase in cost this many more helmets can be produced.
This is the cost (in dollars) of producing 300 helmets.
For every additional helmet produced the cost increases by this much.
Find R(300).
R(300) =
Interpret R(300).
This is the revenue (in dollars) generated from the sale of 300 helmets.
When this many helmets are produced the revenue generated is $300.
For every additional helmet produced the revenue generated increases by this much.
For each $1 increase in revenue this many more helmets can be produced.
Find P(300).
P(300) =
Interpret P(300).
This is the profit (in dollars) when 300 helmets are sold, but since it is negative it means that the company loses money when 300 helmets are sold.
For each additional helmet sold the profit (in dollars) increases by this much, but since it is positive it means that the company is producing too many helmets.
This is the profit (in dollars) when 300 helmets are sold, and since it is positive it means that the company makes money when 300 helmets are sold.
For each additional helmet sold the profit (in dollars) increases by this much, but since it is negative it means that the company needs to decrease the number of helmets sold in order to make a profit.
(f) Find the marginal profit
MP.
MP =
Write a sentence that explains its meaning.
When costs are decreased by this much the profit is increased by $1.
When revenue is increased by this much the profit is increased by $1.
Each additional helmet sold increases the profit by this many dollars.
For each $1 increase in profit this many more helmets can be produced.
Click here to see answer by math_tutor2020(3816) |
Question 1181204: I am trying to solve this problem and unfortunately, I am self-teaching myself so I don't have a lot of direction or advice on how to figure this out. Any tips would be great, thank you!!
[PROBLEM]
Extreme Protection, Inc. manufactures helmets for skiing and snowboarding. The fixed costs for one model of helmet are $7200 per month. Materials and labor for each helmet of this model are $50, and the company sells this helmet to dealers for $85 each. (Let x represent the number of helmets sold. Let C, R, and P be measured in dollars.)
(a) For this helmet, write the function for monthly total costs C(x).
C(x) =
(b) Write the function for total revenue R(x).
R(x) =
(c) Write the function for profit P(x).
P(x) =
(d) Find C(200).
C(200) =
Interpret C(200).
For every additional helmet produced the cost increases by this much.
This is the cost (in dollars) of producing 200 helmets.
When this many helmets are produced the cost is $200.
For each $1 increase in cost this many more helmets can be produced.
Correct: Your answer is correct.
Find R(200).
R(200) =
Interpret R(200).
For every additional helmet produced the revenue generated increases by this much.
This is the revenue (in dollars) generated from the sale of 200 helmets.
For each $1 increase in revenue this many more helmets can be produced.
When this many helmets are produced the revenue generated is $200.
Incorrect: Your answer is incorrect.
Find P(200).
P(200) =
Interpret P(200).
This is the profit (in dollars) when 200 helmets are sold, but since it is negative it means that the company loses money when 200 helmets are sold.
For each additional helmet sold the profit (in dollars) increases by this much, but since it is negative it means that the company needs to decrease the number of helmets sold in order to make a profit.
For each additional helmet sold the profit (in dollars) increases by this much, but since it is positive it means that the company is producing too many helmets.
This is the profit (in dollars) when 200 helmets are sold, and since it is positive it means that the company makes money when 200 helmets are sold.
(e) Find C(300).
C(300) =
Interpret C(300).
When this many helmets are produced the cost is $300.
For each $1 increase in cost this many more helmets can be produced.
This is the cost (in dollars) of producing 300 helmets.
For every additional helmet produced the cost increases by this much.
Find R(300).
R(300) =
Interpret R(300).
This is the revenue (in dollars) generated from the sale of 300 helmets.
When this many helmets are produced the revenue generated is $300.
For every additional helmet produced the revenue generated increases by this much.
For each $1 increase in revenue this many more helmets can be produced.
Find P(300).
P(300) =
Interpret P(300).
This is the profit (in dollars) when 300 helmets are sold, but since it is negative it means that the company loses money when 300 helmets are sold.
For each additional helmet sold the profit (in dollars) increases by this much, but since it is positive it means that the company is producing too many helmets.
This is the profit (in dollars) when 300 helmets are sold, and since it is positive it means that the company makes money when 300 helmets are sold.
For each additional helmet sold the profit (in dollars) increases by this much, but since it is negative it means that the company needs to decrease the number of helmets sold in order to make a profit.
(f) Find the marginal profit
MP.
MP =
Write a sentence that explains its meaning.
When costs are decreased by this much the profit is increased by $1.
When revenue is increased by this much the profit is increased by $1.
Each additional helmet sold increases the profit by this many dollars.
For each $1 increase in profit this many more helmets can be produced.
Click here to see answer by ikleyn(52778) |
Question 1181273: I've already answered these, but I need to ensure they are correct.
Can someone please help me make sure these are right, and if I am wrong show me what I have done incorrectly?
Image: https://imgur.com/a/tuJUGIq
Thank you in advance!
Click here to see answer by MathLover1(20849) |
Question 1181420: I am scratching my head with this problem and could really use some help understanding it.
The total cost (in dollars) of producing a product is given by
C(x) = 900x + 0.1x2 + 1100 where x represents the number of units produced.
(a) Give the total cost of producing 10 units.
$
(b) Give the value of C(100).
C(100) =
(c) Give the meaning of C(100).
- This is the total cost (in dollars) of producing 100 units.
- For every $100 increase in cost this many more units can be produced.
- It costs $100 to produce this many units.
- For every additional 100 units created the cost (in dollars) decreases by this much.
Click here to see answer by ikleyn(52778) |
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7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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