Problem 1CP: 1. True or false: If is the total revenue function for a product, we find all possible points where... Problem 2CP Problem 3CP Problem 4CP Problem 1E Problem 2E Problem 3E: In Problems 1-6, find the absolute maxima and minima for on the interval .
Problem 4E Problem 5E Problem 6E Problem 7E: 7. (a) If the total revenue function for a hammer is then sales of how many hammers, x, will... Problem 8E: 8. (a) If the total revenue function for a blender is sales of how many units, x, will provide the... Problem 9E: 9. If the total revenue function for a computer is find the level of sales, x, that maximizes... Problem 10E: 10. A firm has total revenues given by
for x units of a product. Find the maximum revenue from... Problem 11E: 11. An agency charges $100 per person for a trip to a concert if 70 people travel in a group. But... Problem 12E: 12. A company handles an apartment building with 70 units. Experience has shown that if the rent for... Problem 13E: 13. A cable TV company has 4000 customers paying $110 each month. If each $1 reduction in price... Problem 14E: 14. If club members charge $5 admission to a classic car show, 1000 people will attend, and for each... Problem 15E Problem 16E: 16. For the revenue function given by
(a) find the maximum average revenue.
(b) show that attains... Problem 17E: 17. If the total cost function for a lamp is dollars, producing how many units, x, will result in a... Problem 18E: 18. If the total cost function for a product is dollars, producing how many units, x, will result... Problem 19E: 19. If the total cost function for a product is dollars, producing how many units, x, will result... Problem 20E Problem 21E: 21. If the total cost function for a product is dollars, where x represents the number of hundreds... Problem 22E: 22. If the total cost function for a product is dollars, where x represents the number of hundreds... Problem 23E: 23. For the cost function , show that average costs are minimized at the x-value where
Problem 24E: 24. For the cost function , show that average costs are minimized at the x-value where
Problem 25E: The graphs in Problems 25 and 26 show total cost functions. For each problem
(a) explain how to use... Problem 26E Problem 27E: 27. If the profit function for a product is dollars, selling how many items, x, will produce a... Problem 28E: 28. If the profit function for a commodity is dollars, selling how many units, x, will result in a... Problem 29E: 29. A manufacturer estimates that its product can be produced at a total cost of dollars. If the... Problem 30E: 30. A product can be produced at a total cost dollars, where x is the number produced. If the total... Problem 31E: 31. A firm can produce only 1000 units per month. The monthly total cost is given by dollars, where... Problem 32E: 32. A firm can produce 100 units per week. If its total cost function is dollars and its total... Problem 33E: 33. A company handles an apartment building with 50 units. Experience has shown that if the rent for... Problem 34E: 34. A travel agency will plan a tour for groups of size 25 or larger. If the group contains exactly... Problem 35E: 35. A firm has monthly average costs, in dollars, given by
where x is the number of units produced... Problem 36E: 36. A small business has weekly average costs, in dollars, of
where x is the number of units... Problem 37E: 37. The weekly demand function for x units of a product sold by only one firm is dollars, and the... Problem 38E: 38. The monthly demand function for x units of a product sold by a monopoly is dollars, and its... Problem 39E: 39. The monthly demand function for a product sold by a monopoly is dollars, and the average cost... Problem 40E: 40. The monthly demand function for x units of a product sold by a monopoly is dollars, and its... Problem 41E: 41. An industry with a monopoly on a product has its average weekly costs, in dollars, given by
The... Problem 42E: 42. A large corporation with monopolistic control in the marketplace has its average daily costs, in... Problem 43E: 43. Coastal Soda Sales has been granted exclusive market rights to the upcoming Beaufort Seafood... Problem 45E: 45. Marginal revenue and marginal cost The figure shows the graph of a quadratic revenue function... Problem 46E Problem 49E Problem 50E Problem 51E format_list_bulleted