Question

Profit is equal to the revenue obtained from selling items minus the cost of producing those items, i.e. P(x) = R(x) – C(x) where x is the number of items produced. If C(x) = 0.5x + 3 and R(x) = 2.5x, what should the production level, x, be to generate a profit of $99?

Answer 1

P(x)=R(x)-C(x)
Given that:
R(x)=2.5x and C(x)=0.5x+3
Then,
P(x)=2.5x-(0.5x+3)
P(x)=2x-3
thus for profit of $99, the number of units will be found as follows:
99=2x-3
solving for x we get:
102=2x
x=56 units

Answer 2

Answer:P(x) = 2x-3 = 99

x = 102/2 = 51

Answer B

Step-by-step explanation: