Question 133744: Each week a soft drink machine sells x cans of soda for $0.75/soda. The cost to the owner of the soda machine for each soda is $0.10. The weekly fixed cost for maintaining the soda machine is $25/week. Write an equation that relates the weekly profit, P, in dollars to the number of cans sold each week. Then use the equation to find the weekly profit when 92 cans of soda are sold in a week.
Answer by dolly(163)   (Show Source):
You can put this solution on YOUR website! The equation would be:
Selling price of x cans of soda = $ 0.75 x
Cost price of x cans = $0.10 x
Fixed cost per week = $25
Total cost = $ 25 + $ 0.10x
Thus Prfit P = selling price - cost price
P = $ 0.75x - ($ 25 + $ 0.10x)
= $ 0.75x - $ 25 - $ 0.10x
P = $ 0.65x - $ 25
When 92 cans are sold,
plug in x = 92 in the above,
P = $ 0.65 * 92 - $ 25
= $ 34.8
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