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- Problem 2 Refer to problem 1.(Problem 1: Auto Mart is a mythical seller of a variety of automobileparts and accessories. Auto Mart's owner, Jonathan Trott, wishes to determine the optimum order quantity for oneof the store's popular wiper blades. The annual demandfor the wiper blades is 16,000. The annual holding costper unit is US$2.50, and the cost to place an order is US$50:) Assuming that holding costs and ordercosts remain the same, if annual demand for wiper blades doubles to 32,000, does the EOQ also Double? Explainyour answer with relevant calculations.Seastrand Oil Company produces two grades of gasoline: regular and high octane. Both gasolines are produced by blending two types of crude oil. Although both types of crude oil contain the two important ingredients required to produce both gasolines, the percentage of important ingredients in each type of crude oil differs, as does the cost per gallon. The percentage of ingredients A and B in each type of crude oil and the cost per gallon are shown. Crude Oil Cost Ingredient A Ingredient B 1 $0.10 20% 60% 2 $0.15 50% 30% Each gallon of regular gasoline must contain at least 40% of ingredient A, whereas each gallon of high octane can contain at most 50% of ingredient B. Daily demand for regular and high-octane gasoline is 800,000 and 600,000 gallons, respectively. How many gallons of each type of crude oil should be used in the two gasolines to satisfy daily demand at a minimum cost? Round your answers to the nearest whole number. Round the answers for cost to the nearest…Redleaf company's market research department works on the manufacture and marketing of a winter tire for vehicles. Currently the price is 10$, 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…
- The board of your company discusses a possible future price increase of 20% for one of the products. The argument against the increase is a decrease in sales due to the increased price. With how many units (pieces), sales can fall, without changing the total gross margin, with the following data for your company.Current sales price per piece SEK 600Variable costs per piece SEK 450Current sales volume 10,000 piecesA certain company has a selling price of for their product of 1500-3/4x dollars per unit and fixed costs of $800 and variable costs of 1/4x+1210 dollars per unit, where x is the total number of units produced. A.) FInd the Break even point? B.) When will the company make profit? C.) What is the make profit and the corresponding production level?A company has determine the price and the monthly demand of its products are related by the equation D= √400-p where p is the price per unit in dollar and D is the monthly demand. The associated fixed costs are $1,125 per month and the variable costs are $100/unit. Use this information to answer the following: What is the optimal number of units that should be produced and sold each month? Determine the value of D that represents the break-even point?
- Please answer with details on how to do it. A small company manufactures a certain product. Variable costs are $20 per unit and fixed costs are $10,875. The price demand relationship for this product is P = -0.25D + 250, where P is the unit sales price of the product and D is the annual demand. Total cost = fixed cost + Variable cost, TC = CF + CV Revenue = Demand x Price, TR = D x P Profit = Total Revenue – Total Cost, P = TR – TC a) Develop the equations for the total cost and total revenue. Find the breakeven quantity c) How many units must be sold to maximize profit? What is the company’s maximum profit?Q5) A firm is planning to manufacture a new product. The sales department estimates that the quantity that can be sold depends on the selling price. As the selling price is increased, the quantity that can be sold decreases. Numerically they estimate: P = $35.00 - 0.02Q where P =selling price per unit Q = quantity sold per year On the other hand, the management estimates that the average cost of manufacturing and selling the product will decrease as the quantity sold increases. They estimate C = $4.00Q + $8000 where C = cost to produce and sell Q per year The firm's management wishes to produce and sell the product at the rate that will maximize profit, that is, where income minus cost will be a maximum. What quantity should the decision makers plan to produce and sell each 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. 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 plans to design and build transport vehicles for the Army. The cost for the design is $10M. The cost for the test prototype is $2M. The cost to produce and test each production vehicle is $0.5M. What is the non-recurring cost? What is the recurring cost per vehicle? What price per vehicle must the company sell the vehicles to the government to make $50K profit per vehicle if the company sold 50 vehicles? 100 vehicles? Why does the price per vehicle go down when production goes up?A Leading mobile phone manufacturer is about to introduce a new series, initially they are launching 4 models of the same series. The accompanying table summarizes price and variable costs data, combined fixed costs equal $540,000. Models Infinity A Pro Max Infinity A Pro Infinity A Infinity A Lite Selling Price (in dollars) 500 400 340 220 Material Cost /unit (in dollars) 220 190 150 90 Labor Cost/unit (in dollars) 90 65 65 50 Table 1 a) Develop a joint total revenue function for sales of the four different models. b) Develop an annual total cost function for manufacturing the four models. c) Develop the profit function for sales of the four models. d) Calculate the annual profit if the firm sells 9000, 12000, 45000 and 22000 units, respectively, of the four models?