Answer:
- P(y) = 0.005y² -10y -1000000
- 3,200,000
Explanation:
a) Profit is the difference between revenue and cost.
P(y) = R(y) -C(y)
P(y) = (0.005y² +10y) -(20y +1000000) . . . . use the functions for revenue and cost
P(y) = 0.005y² -10y -1000000 . . . . . profit as a function of y
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b) Evaluating this function for y=30,000, we get ...
P(30000) = 0.005(30000)² -10(30000) -1000000
= 3,200,000
The company will have a profit of 3,200,000 from the sale of 30,000 cars.