Uver is a ride-sharing service that has become very popular in large cities. In one of these large cities, Uver is trying a new model: selling a bundle of 10 rides per week (instead of charging for each ride). Let y stand for the number of bundles, and suppose the weekly cost of providing a bundle of 10 rides is given by the following function: c(y) -10y²+200y+ 500. Assume all Uver drivers have the same cost function. 4th attempt See Hint The market for Uver rides in this city is competitive. Suppose there are 158 Uver drivers in the city. If the price of a bundle of rides is $164, the number of bundles of rides that will be provided is bundles.
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- Scenario: In the town of Isoville there are two grocery stores: Alfonso’s Ammenities and Bernice’s Bargains. The grocery stores are located at either end of the town, 1km apart. Recently, the manager of Alfonso’s Ammenities has proposed installing new self-service checkout technology, which promises to reduce the cost of each transaction at the grocery store by reducing staffing costs. The new technology is expected to reduce the marginal cost of selling a typical basket of groceries by $3. However, experience in other locations has shown that in about 25% of installations the self-service technology results in a significant increase in shop-lifting. In these cases, the need to hire extra security staff means that the marginal cost of a typical basket only falls by $1.50. Unfortunately, there is no way to know whether extra security will be required until after the new checkouts are installed. The Market: Isoville has 12,000 households, each of which purchases 1 basket of groceries per…Scenario: In the town of Isoville there are two grocery stores: Alfonso’s Ammenities and Bernice’s Bargains. The grocery stores are located at either end of the town, 1km apart. Recently, the manager of Alfonso’s Ammenities has proposed installing new self-service checkout technology, which promises to reduce the cost of each transaction at the grocery store by reducing staffing costs. The new technology is expected to reduce the marginal cost of selling a typical basket of groceries by $3. However, experience in other locations has shown that in about 25% of installations the self-service technology results in a significant increase in shop-lifting. In these cases, the need to hire extra security staff means that the marginal cost of a typical basket only falls by $1.50. Unfortunately, there is no way to know whether extra security will be required until after the new checkouts are installed.The Market: Isoville has 12,000 households, each of which purchases 1 basket of groceries per…Scenario: In the town of Isoville there are two grocery stores: Alfonso’s Ammenities and Bernice’s Bargains. The grocery stores are located at either end of the town, 1km apart. Recently, the manager of Alfonso’s Ammenities has proposed installing new self-service checkout technology, which promises to reduce the cost of each transaction at the grocery store by reducing staffing costs. The new technology is expected to reduce the marginal cost of selling a typical basket of groceries by $3. However, experience in other locations has shown that in about 25% of installations the self-service technology results in a significant increase in shop-lifting. In these cases, the need to hire extra security staff means that the marginal cost of a typical basket only falls by $1.50. Unfortunately, there is no way to know whether extra security will be required until after the new checkouts are installed.The Market: Isoville has 12,000 households, each of which purchases 1 basket of groceries per…
- Scenario: In the town of Isoville there are two grocery stores: Alfonso’s Ammenities and Bernice’s Bargains. The grocery stores are located at either end of the town, 1km apart. Recently, the manager of Alfonso’s Ammenities has proposed installing new self-service checkout technology, which promises to reduce the cost of each transaction at the grocery store by reducing staffing costs. The new technology is expected to reduce the marginal cost of selling a typical basket of groceries by $3. However, experience in other locations has shown that in about 25% of installations the self-service technology results in a significant increase in shop-lifting. In these cases, the need to hire extra security staff means that the marginal cost of a typical basket only falls by $1.50. Unfortunately, there is no way to know whether extra security will be required until after the new checkouts are installed.The Market: Isoville has 12,000 households, each of which purchases 1 basket of groceries per…Consider the following quadratic (potential cost) functionAfter an analysis of a large number of small businesses with two to nine employees, it was determined that, in a certain market sector, the operating costs C, in thousands of dollars, could be modeled by the function(pic#2)...., where p is the number of employees working for the firm. On the other hand, the realized revenue, R, of a firm could be determined as a function of the operating costs C, where R=(pic#1)... R and C are expressed in thousands of dollars. a) Based on the analysis, what would be the operating costs for a business with three employees? b) What would be the revenue for a company with three employees? c) Determine the equation that would model the realized revenue, R, as a function of the number of employees.
- This question illustrates the argument on p.114 of the book. A and B own neighboring properties. Beneath their properties is a common well that contains 200 units of oil. The cost to A of extracting oil from the well in period t depends on the number of units of oil in the well at the beginning of the period t, ut, and the number of units of oil A extracts in period t, xAt ; specifically, the average cost of extraction for A per unit in period t is xAt /ut. The analogous cost function for B is xBt/ut. The market price of a barrel of oil is 1, there are two periods (t = 1, 2), and the discount rate is zero. The oil is a common property resource. a) (2) Suppose that A and B "unitize" and cooperatively decide how much oil to extract, and split the profit between them. The jointly profit-maximizing policy is that each extracts 50 units of oil from her well in each of the first two periods, after which the well is dry. How much discounted profit will A and B each make? b) (2) Suppose…The weekly cost C of producing x units in a manufacturing process is given by C(x) = 60x + 2250. The number of units x produced in t hours is given by x(t) = 50t. (a) Find and interpret (C ∘ x)(t). (C ∘ x)(t) = (C∘x)(t) represents the cost of production as a function of time. (C∘x)(t) represents the production as a function of cost. (b) Find the cost of the units produced in 4 hours.$ (c) Find the time that must elapse in order for the cost to increase to $15,000. hrA small company produces organic cookies. When the price is $6 per dozen, the average daily sales has been 72 dozen cookies. When the price was decreased to $3 per dozen, the average daily sales increased to 110 dozen cookies. Assume that daily cookie sales is linearly related to price per dozen. Each dozen cookies has a variable cost of 87 cents to make, plus additional daily fixed costs of $84. Find a function that models the daily profit in terms of the sales x in dozens of cookies.
- Q2)Tony Keonte owns a factory that manufactures Eye-Games. His weekly profit (in thousands of dollars) is given by the following function: P(x) = -4x2 + 80x- 300. Where x is the number of Eye-Games sold. a) What is the largest number of Eye-Games that the company can sell and still make profit? (25 points) b) How many Eye-Games will the firm have to produce and sell in order to maximize profit? (25 points)Suppose that an ISP leases a new server in order to increase the speed of Internet service by increasing the bandwidth that is available to its customers. Would the cost of this lease increase fixed costs, variable costs, marginal costs, or all of them?Market research for a certain ice cream company indicates that if the price per cup of ice cream is P50.00, the demand will be 1200 cups, whereas if the price is increased to P60.00, the demand will be 1100 cups. Therefore, at a production level of 200 cups of ice cream, the revenue generated by the company would be $130 for each additional cup of ice cream produced. Now, suppose it is known that the total cost of production of x cups of ice cream is given by C(x) = 3x + 25,500. (a) Find the value(s) of x at the break-even points. (b) Use marginal analysis to approximate the profit from the sale of the 500th cup of ice cream. Compare this value with the exact profit from the sale of the 500th cup.