Problema Solution

When x units of a certain luxury commodity are produced, they can all be sold at a price of p thousand dollars per unit, where p=-6x+100.

a. Express the revenue R(x) as a function of x.

b. How much revenue is obtained when x=15 units are produced and sold?

Answer provided by our tutors

the formula for sales revenue is the selling price multiply by the items sold


a.

R(x) = x*p


R(x) = x*(-6x+100)


R(x) = -6x^2+100x


b.

when x = 15


R(15) = -6*15^2 + 100*15


R(15) = $150


for 15 units produced and sold the revenue is $150.