Hello, Kindly help m,e answer this problem solving about Profit Maximization in Managerial Economics. Kindly provide clear solution.

1. A firm has the following total revenue and total cost functions: TR = 21Q - Q2 TC = Q's 3 - 302 +90+6 A. At what level of output does the firm maximize total revenue? (2 points) B. At what level of output does the firm maximize total profit? (4 points) Profit = TR - TC 2. Suppose that you are the manager of a coffee shop, and you are planning to invest on a new coffee-maker machine designed to increase the productivity of your employees. A. Complete the table below. (5 points) Current Projected Sales Incremental Situation and Profit Revenues and Costs Total Revenue Php1,000,000 Php1, 100,000 Variable Cost 400,000 300,000 Direct Fixed Costs 500,000 590,000 Indirect Fixed Costs 100,000 100,000 Profit 110,000 B. Should the new coffee-maker machine be purchased? Justify your answer. (4 points)3. At a large textile manufacturing, the accounting department head has requested you to put together a pro forma statement of the company's "value under many potential growth scenarios and the expectation that the various divisions of the company will forever remain a single entity. The company's manager is alarmed that, despite the fact that the company's rivals are relatively limited, their annual sales growth for each of the last five years has collectively exceeded 50%. In each of the following profit growth scenarios, the accounting department head recommended that the valuation forecasts be based on the company's profits of Php3.2 billion (which has yet to be paid out to stockholders) and the average interest rate over the past 20 years (6%): A. 4% annual growth rate of profits. (2 points) B. 2% annual growth rate of profits. (2 points) C. 9%% annual growth rate of profits. (tricky one!) (2 points)