Question

A company finds they price thier pens at p dollars each, then thier weekly revenue for the pens will be 1000p - 200p^2 dollars. If their weekly revenue is 1200 dollars what could be the price in dollars of each pen

Answer 1

Answer:

The price of each pen could be 2 dollars or 3 dollars.

Step-by-step explanation:

Given data:  

Cost of each pen is p dollars.

Weekly revenue = 1200 dollars

Also, equation for weekly revenue is given as (1000p – 200p²)

To find: value of p.

∴ According to the question we can write,

(1000p – 200p²) = 1200

Or, (10p – 2p²) = 12 ..… [ dividing throughout by 100]  

Or, (-2p² + 10p) = 12

Or, (-p² + p) = 6 …… [dividing throughout by 2]

Or, (-p² + p - 6) = 0

Or, p² – p + 6 = 0

Or, p² - 3p – 2p + 6 = 0

Or, p(p – 3) – 2(p – 3) = 0

Or, (p – 3) (p – 2) = 0

Or, p = 3$ or p = 2$