SOLUTION: I'm not sure how to do this problem. Thanks for your help. #74. Production An electronics company has fixed costs of $25,000 per month and a variable cost of $18.65 per 13 inc

Question 187643This question is from textbook College Algebra A Graphing Solution
: I'm not sure how to do this problem. Thanks for your help.
#74. Production
An electronics company has fixed costs of $25,000 per month and a variable cost of $18.65 per 13 inch tv/vcr combination manufactured. (Fised costs are those that occur regardless of the level of production)
a) Write the total monthly costs C as a funciton of the number of units x produced.
b) Use a graphing utility to graph the cost funciton.
c) Use the graph from part b to approximate the number of units that can be produced per;month if total costs cannot exceed $200,000. Verify algebraically. Is this problem better solved algebraically or graphically? Explain.
This question is from textbook College Algebra A Graphing Solution

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
An electronics company has fixed costs of $25,000 per month and a variable cost
of $18.65 per 13 inch tv/vcr combination manufactured.
(Fixed costs are those that occur regardless of the level of production)
:
a) Write the total monthly costs C as a function of the number of units x produced.
C = 18.65x + 25000
:
:
b) Use a graphing utility to graph the cost function.
Enter y = 18.65x + 25000, Scale: x:-2000,+15000. y:-50000, +300000
Should look like this:

c) Use the graph from part b to approximate the number of units that can be produced per month if total costs cannot exceed $200,000.
:
Green line represents 200000
:
Verify algebraically.
18.65x + 25000 =< 200000
18.65x =< 200000 - 25000
18.65x =< 175000
x =
x = 9383.37 ~ 9,383 units
;
Is this problem better solved algebraically or graphically? Explain.
:
I'll let you do that.

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