If a company charges x dollars per item it finds that it can

If a company charges x dollars per item, it finds that it can sell 1500 - 4x of them. Each item costs $6 to produce. Express the revenue, R(x), as a function of price. Note that \"R(x) = \" is already provided. Do not include this in your submitted response to this question. Express the cost, C(x), as a function of price. Note that \"C(x) = \"is already provided. Do not include this in your submitted response to this question.

Solution

Revenue function

No. of itmes that can be sold = 1500 -4x

So, revenue,R(x) = price of onetem *no. of items = x*(1500 - 4x)

= -4x^2 +1500x

C(x) = cost of production *no. of items = 6( 1500- 4x)

C(x) = 9000 - 24x