9. [-l4 Points] DETAILS WANEFMAC7 11.2.006. Find the marginal cost, marginal revenue, and marginal prot functions. C(x) = 7x2; R(X) = x3 + 11x + 18 marginal cost marginal revenue marginal profit Find all values ofx for which the marginal prot is zero. Interpret your answer. (Enter your answers as a comma-separated list.) x= Need Help? 10. [-l5 Points] DETAILS WANEAC7 5.6.007. The consumer demand equation for tissues is given by q = (96 p)2, where p is the price per case of tissues and q is the demand in weekly sales. (a) Determine the price elasticity of demand E when the price is set at $31. (Round your answer to three decimal places.) Interpret your answer. The demand is going by C] % per 1% increase in price at that price level. (b) At what price should tissues be sold to maximize the revenue? (Round your answer to the nearest cent.) $:l (c) Approximately how many cases of tissues would he demanded at that price? (Round your answer to the nearest whole number.) :] cases per week 11. [l6 Points] DETAILS WANEAC7 5.6.003. Worldwide annual sales of smartphones over a two year period were approximately q = 5p + 3,080 million phones at a selling price of $p per phone. (a) Obtain a formula for the price elasticity of demand E. E= (b) In one of the years the actual selling price was $355 per phone. What was the corresponding price elasticity of demand? (Round your answer to two decimal places.) E = Interpret your answer. The demand was going by about E % per 1% increase in price at that price level. (c) Use your formula for Eto determine the selling price that would have resulted in the largest annual revenue. $ E What would have been the resulting annual revenue? (Round your answer to two decimal places.) s E l:lillion Need Help? @ 12. [-IS Points] TANAPCALC10 3.4.035. Elastlclty of Demand for Halr Dryers The demand equation for the Roland portable hair dryer is given as follows where X (measured in units of a hundred) is the quantity demanded per week and p is the unit price in dollars. x= %(256 pz) (0 s p s 15) (a) Is the demand elastic or inelastic when p = 8? O elastic O inelastic Is the demand elastic or inelastic when p = 11? O elastic O inelastic (b) When is the demand unitary? (Round your answer to two decimal places.) (Hint: Solve E(p) = 1 for p.) (c) If the unit price is lowered slightly from $11, will the revenue increase or decrease? 0 increase 0 decrease (d) If the unit price is increased slightly from $8, will the revenue increase or decrease? 0 increase 0 decrease 13. [-/6 Points] DETAILS TANAPCALC10 3.4.036. MY NOTES Elasticity of Demand for Tires The management of Titan Tire company has determined that the quantity demanded x of their Super Titan tires per week is related to the unit price p by the following equation where p is measured in dollars and x in units of a thousand. X = V 144 - P (0 S p s 144) (a) Compute the elasticity of demand (in dollars) when p = 85, 96, and 109. (Round your answer to two decimal places.) E(85) = E(96) = E(109) = (b) Determine the demand when p = 85. O elastic O unitary O inelastic Determine the demand when p = 96. O elastic O unitary O inelastic Determine the demand when p = 109. O elastic O unitary O inelastic Need Help? Read It 14. [-/2 Points] DETAILS TANAPCALC10 3.4.037. MY NOTES Elasticity of Demand for DVD Rentals The proprietor of the Showplace, a video store, has estimated that the rental price p (in dollars) of prerecorded DVDs is related to the quantity x (in thousands) rented/day by the demand equation ZV 36 - p2 (0 s p s 6) Currently, the rental price is $3/disc. (a) Is the demand elastic or inelastic at this rental price? O elastic O inelastic (b) If the rental price is increased, will the revenue increase or decrease? increase O decrease15. [-IZ Points] DETAILS TANAPCALC10 3.R.071. Elasticity of Demand The demand equation for a certain product is x = 100 0.01p2. (a) Is the demand elastic, unitary, or inelastic when p = 50? O elastic O unitary O inelastic (b) If the price is $50, will raising the price slightly cause the revenue to increase or decrease? 0 increase 0 decrease