A commodity has a demand function modeled by p = 124 - 0.5x and a total cost function modeled by C = 40x + 33.75, where x is the num (a) What unit price (in dollars) yields a maximum profit? $ per unit (b) When the profit is maximized, what is the average cost (in dollars) per unit? (Round your answer to two decimal places.) per unit Need Help? Master It -/2 Points] DETAILS LARAPCALC10 3.5.018. MY NOTES ASK YOUR TEACHER PRACTICE ANOTH Consider the following. P = -0.1s'+ 652+ 400 Find the amount s of advertising (in thousands of dollars) that maximizes the profit P (in thousands of dollars). S = Find the point of diminishing returns. ( s, P ) = ( Need Help? Read It Watch It [-/1 Points] DETAILS LARAPCALC10 3.5.020.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHE A real estate office handles a 40-unit apartment complex. When the rent is $580 per month, all units are occupied. For each $30 increase in rent, however, an average of one unit becomes vacant. Each occupied unit requires an average of $50 per month for service and repairs. What rent should be charged to obtain a maximum profit? $