(a) A rm can produce a maximum of 1500 sport cars every year. If the producer sells 1; cars, then the prot is 110;) = 30000000 360,000q + 75002 - if in dollars. How many cars should the producer trite sell to maximize the pgt? (5 marks) 3 (b) Suppose a producer faces a nonlinear inVerse demand function 3) = (650 0.2 Sq)3. What is the amount of output q should it try to sell to maximize the total revenue? Use the second derivative test to conrm your result