4) A company manufactures and sells x lime scooters sets per month. The monthly cost and...

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4) A company manufactures and sells x lime scooters sets permonth. The monthly cost and price-demand equations are

Cx=16,000+75x

p(x)=200-x/30 0≤x≤3,000

a) Find the maximum monthlyrevenue.

b) Find the maximum profit, theproduction level that will realize the maximum profit, and theprice the company should charge for each scooter.

c) If the local government decides to subsidize the company $5for each scooter it produces, how many scooters should the companymanufacture each month to maximize its profit under this revisedscenario? What is the maximum profit? What should the companycharge for each scooter?

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