4.) Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars) realized from renting x apartments is P(x)=-10x +1760x-50,000 a.) Find the marginal profit function b.) Find and interpret the marginal profit for x = 50 5.) The demand equation for handcrafted violins by a certain violin maker can be approximated by p=24-x Where p is the price in thousands of dollars and x is the number of violins demanded. The cost (also in thousands of dollars) of making x violins can be approximated by C(x)=15+1.2x Note: for a $15,000 violin, then you would have p = 15. a. Find the revenue function. Hint: R=x.p b. Find the marginal revenue function c. Find and interpret the marginal revenue for each of the given production levels i. x=5 ii. x= 10 iii. x=12 d. Find the profit function. Hint: P-R-C e. Find the marginal profit function f. Find and interpret the marginal profit for each of the given production levels 1. x = 5 ii. x= 10 iii. x = 12