Question 187643
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:
{{{ graph( 300, 200, -3000, 15000, -50000, 300000, 18.65x+25000, 200000) }}}

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 = {{{175000/18.65}}}
x = 9383.37 ~ 9,383 units
;
 Is this problem better solved algebraically or graphically? Explain.
:
I'll let you do that.