XZ company is selling product A, according to the company when the price of product A is $28, the expected demand is 50,000 units per week. However, when the price is $58, only 20,000 units are demanded per week. Required What is the demand function for product A?
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- A large company in the communication and publishing industry has quantified the relationship between the price of one of its products and the demand for this product as Price = 150−0.01 × Demand for an annual printing of this particular product. The fixed costs per year (i.e., per printing) = $50,000 and the variable cost per unit=$40. What is the maximum profit that can be achieved if the maximum expected demand is 6,000 units per year? What is the unit price at this point of optimal demand?A company produces and sells luxury goods and is able to control the demand for the product by varying the selling price. The relationship between price and demand is found to be: p=10-(42/D^2)+2Dwhere p is the price per unit in million dollars and D is the demand per year. The company is seeking to maximize its profit. The fixed cost is $59 million per year and the variable cost is $25 million per unit. The production capacity is 42 units per year, and the company produces at least 1 unit per month. 1) What is the company’s range of profitable output per year?A company produces and sells luxury goods and is able to control the demand for the product by varying the selling price. The relationship between price and demand is found to be: p=10-(42/D^2)+2Dwhere p is the price per unit in million dollars and D is the demand per year. The company is seeking to maximize its profit. The fixed cost is $59 million per year and the variable cost is $25 million per unit. The production capacity is 42 units per year, and the company produces at least 1 unit per month.a) Derive how to find the number of units that should be produced annually to maximize profit.b) What is the maximum profit per year?c) What is the annual breakeven point?d)What is the company’s range of profitable output per year?
- A company can produce 7,000 units of smartphones in a month. The fixed cost is $65,000 per month, and the variable cost is $79 per unit. The selling price is p = $150 – 0.01D. a. Determine the optimal volume for this product and its percentage of the total capacity. Confirm that a profit occurs at this demand. b. Find the volumes at which breakeven occurs; that is, what is the range of profitable demand?A large company in the communication and publishing industry has quantified the relationship between the price of one of its products and the demand for this product as Price=160−0.02×Demand for an annual printing of this particular product. The fixed costs per year (i.e., per printing)=$47,000 and the variable cost per unit=$40. What is the maximum profit that can be achieved? What is the unit price at this point of optimal demand? Demand is not expected to be more than 4,000 units per year. The maximum profit that can be achieved is $? (Round to the nearest dollar.) The unit price at the point of optimal demand is $? per unit. Redleaf company's market research department works on the manufacture and marketing of a winter tire for vehicles. Currently the price is 10$, and the demand is 13000 units. When the price is increased to 15$, the company expects the demand to be 8500 units (assume that price is linearly related to demand.). Company is following a make-to-order policy for their production, meaning that they make production as much as ordered from their dealers. The dealers make orders 3 times a year, on January, May and September. The company has 23 dealers, who do not have any capacity restriction on their orders. Yet, the above information is a country-wise research, and shows the aggregate demand (sum of all dealers' orders) for each price. Regardless of the production amount, the company faces with a 2170$ of administrative cost for production, in addition to 1,3 $ cost of raw materials and labour costs per each units produced. If we define price as a function of demand (P(d)) using the…
- A manufacturer estimates that its product can be produced at a total cost of c(x)=40,000+100x+x^3 dollars. If the manufacturer's total revenue from the sale of x units is R(x)=4300x dollars, determine the level of production x that will maximize the profit. Find the maximum profit.A company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately D = 1560 – 20p units (D is the demand of quantity sold per month, and p is in dollars.) The fixed cost is $800 per month, and the variable cost is $30 per unit produced. The demand that maximizes the revenue is:A vacuum cleaner retailer has been selling 84 units per month of the basic Bissell stick model for $80. The retailer’s variable costs for that model are $51. (a) If a retail manager has only the information provided above, calculate the breakeven sales level for lowering the price of the basic Bissell stick model to $72. Show your work. (b) Assume that the retail manager then finds out that when a customer buys a Bissell stick model, the customer also spends an average of $20 for vacuum cleaner bags and that the retailer’s contribution margin on vacuum cleaner bags is 55%. Given this additional information, recalculate the breakeven sales level for lowering the price of the basic Bissell stick model to $72. Again, show your work. (c) Would having the additional information about the vacuum cleaner bags make it easier for the manager to make more profit from the price decrease or would it make it harder for her to do so? Explain your reasoning.
- The economic analysis division of Mapco Enterprises has estimated the demand function for its line of weed trimmers as QD = 18,000 + 0.4N − 350PM + 90Ps whereN = number of new homes completed in the primary market area PM = price of the Mapco trimmer PS = price of its competitor’s Surefire trimmer In 2010, 15,000 new homes are expected to be completed in the primary market area. Mapco plans to charge $50 for its trimmer. The Surefire trimmer is expected to sell for $55. a. What sales are forecasted for 2010 under these conditions? b. If its competitor cuts the price of the Surefire trimmer to $50, what effect will this have on Mapco’s sales?c. What effect would a 30 percent reduction in the number of new homes completed have on Mapco’s sales (ignore the impact of the price cut of the Surefire trimmer)?A company produces an electronic timing switch that is used in consumer and commercial products. The fixed cost is $70,000 per month and the variable cost is $80 per unit. If the selling price per unit is p = $170 − 0.01(D), calculate the following: a) The optimal volume for this product (Demand)? b) The value of selling price per unit at the optimal volume calculated in part a for this product ?The profit,P,of a company that manufactures and sells N units of a certain product is modeled by the function P(N)=R(N)-C(N) The revenue function,R(N)=S·N, is the selling price S per unit times the number N of units sold. The company's cost,C(N)= Co +Cop(N), is a sum of two terms. The first is a constant Co describing the initial investment needed to set up production. The other term, Cop(N), varies depending on how many units the company produces, and represents the operating costs. Companies care not only about profit, but also marginal profit, the rate of change of profit with respect to N. Assume that S=$50,Co=$75,000, Cop(N)=$50✓N,and that the company currently sells N= 100 units. Compute the marginal profit at this rate of production.Round your answer to one decimal place.