Question

8. [-13 Points] DETAILS TANAPCALC10 2.2.064. Profit from Sale of Smartphones Apollo manufactures smartphones at a variable cost of Vx) = 0.000003x3 -0.05x2 + 300x dollars, where x denotes the number of units manufactured per month. The monthly fixed cost attributable to the division that produces them is $100,000. The total revenue realized by Apollo from the sale of x smartphones is given by the total revenue function R(x) = -0.1x2 + 500x (0 < x < 5000) where R(x) is measured in dollars. (a) Find a function C that gives the total cost incurred by the manufacture of x smartphones. C(x) (b) Find the total profit function. P(x) = (c) What is the profit (in dollars) when 1800 units are produced and sold each month? $ Need Help? Read It Watch It Talk to a Tutor 9. [-14 Points) DETAILS TANAPCALC10 2.2.068. Effect of Mortgage Rates on Housing Starts A study prepared for the National Association of Realtors estimated that the number of housing starts per year over the next 5 yr will be 7 N() = 1 + 0.02 million units, where r (percent) is the mortgage rate. Suppose the mortgage rate over the next t months is Mt) = 5 + 75 (Osts 24) percent/year. (a) Find an expression for the number of housing starts per year (in millions of units) as a function of t, t months from now. Nir(t)) = (b) Using the result from part (a), determine the number of housing (in millions of units) starts at present, 10 months from now, and 24 months from now. (Round your answers to two decimal places.) present million units in 10 months million units in 24 months million units Need Help? Read it Watch It Talk to a Tutor Submit Answer Viewing Saved Work Revert to Last Response

Answer 1

As per HOMEWORKLIB RULES I solved 1 st problem

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