A company sells its products in a market where themarketprice,p, is linked to the quantitysold,q, by the linear equationp= 1202q.

a)Calculate the market price if the company sells 50 units. Whatisthe revenueequationand the revenue if company sells 50 units?

The company incurs fixed costs of $400 and an additional cost of $12 for each unit produced.

b)What is the cost equation?How much will it cost to produce 50 units?

c)What is the profit equation?What profit will the company make from producing and selling 50 units?

d)Calculate the number of units that will maximize the profit. What is the corresponding market price that will maximize profit?What is the maximum profit?