Answer:
• R(n) = n·(25 -0.2n)
• n = 5
Step-by-step explanation:
Revenue is the product of selling price and the number sold. If n cigars are sold at a price of (25-0.2n), then the revenue generated is ...
R(n) = n(25 -0.2n)
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We want the value of this to be 120, so we want the solution to ...
120 = n(25 -0.2n)
0.2n^2 -25n +120 = 0
n^2 -125n +600 = 0
(n-5)(n-120) = 0
n = 5 . . . . . . . any value above 25 is extraneous
The revenue function is R(n) = n(25-0.2n); 5 cigars must be sold to have a revenue of $120.
