Question

A home improvement company expects the daily supply equation of their most popular cordless drill kit to be: S(q) = 10q2 + 100q +20 where S(q) is the price in dollars at which q units are supplied. Find the price at which the company should set the drill kit if they plan to supply 16 a day?

Answer 1

Price of the drill kit should be set as $4180.

Explanation:

Daily supply of the most popular cordless drill kit is represented by the equation

S(q) = 100q² + 100q + 20

where S(q) = price of the kits at which q units are supplied

q = number of drill kits supplied

Now we have to calculate the price of the drill kits if company plans to supply 16 kits a day.

S(16) = 10(16)² + 100(16) + 20

= 10×256 + 1600 + 20

= 2560 + 1600 + 20

= $4180

Therefore, cost of the drill set should be set as $4180.