Problema Solution
The revenue R received by a company selling x pairs of sunglasses per week is given by the function R(x) -0.1x^2=80x. (a) Find the values of R(13) and R(25). (b) How many pairs of sunglasses must be sold in order for the revenue to be $7000 per week? (c) How many pairs of sunglasses must be sold in order for revenue to be 16,000 per week? please explain! thank you!
Answer provided by our tutors
R(x) -0.1x^2=80x
R(x) = 0.1x^2 + 80x
(a) Find the values of R(13) and R(25)
For x = 13 we have: R(13) = 0.1*13^2 + 80*13
R(13) = 1056.9
R(25) = 0.1*25^2 + 80*25
R(25) = $2062.50
(b) R = $7000, we need to find x
0.1x^2 + 80x = 7000
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click here to see the equation solved for x
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x1 = 79.58
x2 = - 879
(c) R = $7000, we need to find x
0.1x^2 + 1x = 7000
........
click here to see the equation solved for x
........
x1 = 79.58
x2 = - 879