Tutors Answer Your Questions about Linear Algebra (FREE)
Question 1113607: The cost, in dollars, to produce x widgets is C(x) = 3x + 32 , x ≥0. The price-demand function, in dollars per widget, is p(x) = 30 - x.
a. Find and interpret R(10), where R(x) is the revenue function.
b. Find and interpret P(10), where P(x) is the profit function.
Click here to see answer by solver91311(24713)   |
Question 1116249: (−414×−916)mod12=Y
I attempted to find the value within the brackets, -414 x -916 = 379224
I then divided this by 12 which gave me 31602 exactly with no remainder. I then assumed that this meant that the answer was 0.
The answers given are
0
(6+8)mod12
48 mod 12
14 mod 12
However, the answer was identified as being 14 mod 12.
Can you please explain why this is the case
Click here to see answer by Alan3354(69443)  |
Question 1116632: Dolebear law states the relationship between the rate at which snowy tree crickets chirp and the air temp of their enviroment. The formula is: T=50 =N-40/4 where T is a temperature in degrees Farenheit and N is a number of chirps per minute. If T=58 degrees, find the number of chirps per minute. I'm showed the answer is 78 in my book, however I do not understand how this answer was solved. Please show me the steps to arrive at this answer.
How do I solve for N?
Click here to see answer by josgarithmetic(39616) |
Question 1117091: This is Linear Programming Pls help us! :(
please use 2 variables only x and y thank you
MILESTONE: Linear Program
After making various presentations to potential investors, MC has finally hit the jackpot. An investor wants to invest 100,000,000 pesos in MC.
After doing all your staff work in the previous weeks, the two of you have been tasked to find the most efficient way to invest the money. This involves making the highest profit possible from the money you have invested. You have decided to consult your friend Olivia, who is also a financial investor.
Olivia discusses that you need to use a mathematical method called Linear Programming to solve this problem. She explains that Linear Programming is a method that has to be set up very carefully. It involves creating a function to optimize and modelling various constraints using linear equations. She has decided to present you the profitability percentages of MC, given that she has already done prior work with MC.
The startup arm is projected to return at least 12%. To minimize risk, you must invest no more than 30,000,000 pesos. The financial stocks return 3%, while the retail arm returns 5%.
For tax reasons, you must invest at least 3 times more in the financial stocks than the retail arm.
Your task is to set up the linear program. You have to define the following:
1. The variables that will be used
2. The optimization function that will be used
a. What kind of optimization will be done: minimization or maximization?
3. The constraints that the linear program will be subjected to
Click here to see answer by Theo(13342)  |
Question 1117091: This is Linear Programming Pls help us! :(
please use 2 variables only x and y thank you
MILESTONE: Linear Program
After making various presentations to potential investors, MC has finally hit the jackpot. An investor wants to invest 100,000,000 pesos in MC.
After doing all your staff work in the previous weeks, the two of you have been tasked to find the most efficient way to invest the money. This involves making the highest profit possible from the money you have invested. You have decided to consult your friend Olivia, who is also a financial investor.
Olivia discusses that you need to use a mathematical method called Linear Programming to solve this problem. She explains that Linear Programming is a method that has to be set up very carefully. It involves creating a function to optimize and modelling various constraints using linear equations. She has decided to present you the profitability percentages of MC, given that she has already done prior work with MC.
The startup arm is projected to return at least 12%. To minimize risk, you must invest no more than 30,000,000 pesos. The financial stocks return 3%, while the retail arm returns 5%.
For tax reasons, you must invest at least 3 times more in the financial stocks than the retail arm.
Your task is to set up the linear program. You have to define the following:
1. The variables that will be used
2. The optimization function that will be used
a. What kind of optimization will be done: minimization or maximization?
3. The constraints that the linear program will be subjected to
Click here to see answer by KMST(5328)  |
Question 1117091: This is Linear Programming Pls help us! :(
please use 2 variables only x and y thank you
MILESTONE: Linear Program
After making various presentations to potential investors, MC has finally hit the jackpot. An investor wants to invest 100,000,000 pesos in MC.
After doing all your staff work in the previous weeks, the two of you have been tasked to find the most efficient way to invest the money. This involves making the highest profit possible from the money you have invested. You have decided to consult your friend Olivia, who is also a financial investor.
Olivia discusses that you need to use a mathematical method called Linear Programming to solve this problem. She explains that Linear Programming is a method that has to be set up very carefully. It involves creating a function to optimize and modelling various constraints using linear equations. She has decided to present you the profitability percentages of MC, given that she has already done prior work with MC.
The startup arm is projected to return at least 12%. To minimize risk, you must invest no more than 30,000,000 pesos. The financial stocks return 3%, while the retail arm returns 5%.
For tax reasons, you must invest at least 3 times more in the financial stocks than the retail arm.
Your task is to set up the linear program. You have to define the following:
1. The variables that will be used
2. The optimization function that will be used
a. What kind of optimization will be done: minimization or maximization?
3. The constraints that the linear program will be subjected to
Click here to see answer by ikleyn(52775)  |
Question 1120201: a theater has 15 seats, divided into balcony, main floor, and orchestra seating. Balcony seats sell for $1, main floor seats for $2, and orchestra seats for $3. If all seats were sold, the total revenue to the theater is $24. There are 4 times as many balcony seats as there are orchestra seats. how many are there of each kind?
Click here to see answer by ikleyn(52775) |
Question 1120652: The height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. When graphed, the function gives a line with a slope of −0.6
Suppose that the height of the candle after 16 hours is 19.4 centimeters. What was the height of the candle after 7 hours
Click here to see answer by josgarithmetic(39616) |
Question 1121196: [hopefully this is the right topic... not sure...]
I'm having an issue understanding the "excluded value".
State the excluded values for the following expression. Then simplify the expression.
(k^2 - k - 30) / (k^2 - 11k + 30)
I factored it down and simplified to (k+5)/(k-5).
What would be the excluded value? Is it the x-6 that I cancelled out?
Click here to see answer by greenestamps(13198)  |
Question 1122053: Adam will use x black stone tiles and y gray stone tiles to cover his patio floor. Black stone tiles cost $5 each and gray stone tiles cost $4 each. He can spend up to $150 on his project, and he wants the number of gray stone tiles to be less than half the number of black stone tiles.
Select all inequalities that model this situation
y<1/2x
x≥0
y≤1/2x
5x+4y<150
5x+4y≤150
x>0
Click here to see answer by ikleyn(52775) |
Question 1122054: A company is selling two types of treadmills. Treadmill x sells for $750 and treadmill y sells for $900.
Three times the number of treadmill y sold must be less than or equal to twice the number of treadmill x sold. The company has at most 100 treadmills to sell.
What is the maximum revenue that the company can make from the treadmill sales?
$75,000
$81,000
$84,000
$90,000
Click here to see answer by ikleyn(52775) |
Question 1122204: Find values of a, b, and c (if possible) such that the system of linear equations has a unique solution, no solution, and infinitely many solutions. (If not possible, enter IMPOSSIBLE.)
x + y = 4
y + z = 4
x + z = 4
ax + by + cz = 0
Click here to see answer by ikleyn(52775) |
Question 1122188: Find a system of two equations in two variables,
x1 and x2, that has the solution set given by the parametric representation
x1 = t
and
x2 = 7t − 8,
where t is any real number. (Enter your answer as a comma-separated list of equations.)
Let x2 = t, then x1 = ?
Click here to see answer by greenestamps(13198) |
Question 1122321: a parallelogram has two side lengths of five units. three of its side lengths have equations y=0, y=2 and y=2x. find the equation of the fourth side.
I already tried graphing it out but all I could come up with is 2=2x because I thought that it would be the same as the other line due to it being a parallelogram
Click here to see answer by josgarithmetic(39616) |
Question 1122535: Let u and v be non-zero vectors in R^3 in standard position. Prove that if u and v are of length rcm each, where r is an element of R and r is less than 0, then their tips lie on the surface of a sphere of radius rcm.
Click here to see answer by ikleyn(52775) |
Question 1122596: A truck driver travels at an average speed of 70 miles per hour on a 220-mile trip to pick up a load of freight. On the return trip (with the truck fully loaded), the average speed is 60 miles per hour. What is the average speed for the round trip?
Click here to see answer by Alan3354(69443) |
Question 1122622: Last season two running backs on the steeler football team rushed or a combined total of 1550 yards. One rushed 4 times as many yards as the other. How many yards were rushed by each player.
I think that one equation is x+y=1550, but idk what the other one would be
Click here to see answer by josgarithmetic(39616) |
|
Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760
|
