1. Cost minimization: theoretically, an alfalfa producer would like to minimize their costs of producing any amount of alfalfa, q, by selecting the amount of labor, x1, fertilizer, x2, and equipment, 23. Technically efficient production requires q = 10x0.5x2x2. (a) [ What are the marginal products of labor and fertilizer? (b) [ What are the output elasticities? (c) (d) What is the elasticity of scale? s Suppose the per-unit fertilizer cost equals that for equipment (w2w3). Define the cost function in terms of the cost of labor, w₁, the cost of fertilizer, w2, the cost of equipment, w3, and the output, q- (e) I Find 1, 2, and c when w₁ = 1, W2 = w3 = 2, and q = 20.
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- 4. A nursery grows and sells rose bushes. To grow the bushes there is a fixed annual cost of $20,000 and an additional production cost of $10 per bush. The bushes sell for $25 each. (a) Write down the cost function. (b) Write down the revenue function. (c) Find the profit function. (d) Find the break even point. (e) How many rose bushes must the nursery sell to make a 20% profit?1. See pictures to solveQ1) A retail. Store stocks two types of shirts A and B. These are packed in attractive cardboard boxes. During a week the store can sell a maximum of 400 shirts of type A and a maximum of 300 shirts of type B. The storage capacity, however, is limited to a maximum of 600 of both types combined. Type A shirt fetches a profit of SR 2/- per unit and type B a profit of SR. 5/- per unit. (b) Find the optimal solution (How many of each type) that store should stock per week to maximize the total profit. Use Graphical Method.
- Please answer all questions using exact terminlogy... Neptune Company has developed a small inflatable toy that it is anxious to introduce to its customers. The company’s Marketing Department estimates that demand for the new toy will range between 20,000 units and 30,000 units per month. The new toy will sell for $9.00 per unit. Enough capacity exists in the company’s plant to produce 25,000 units of the toy each month. Variable expenses to manufacture and sell one unit would be $5.00 , and incremental fixed expenses associated with the toy would total $34,000 per month. Neptune has also identified an outside supplier who could produce the toy for a price of $4.00 per unit plus a fixed fee of $67,000 per month for any production volume up to 25,000 units. For a production volume between 25,001 and 55,000 units the fixed fee would increase to a total of $134,000 per month. Required: 1. Calculate the break-even point in unit sales assuming that Neptune does not hire the outside…Ray Holt seeks an investment for his new business. The investor will bear all the costs(fixed + variable) and wants a rate of return of at least Y%. For the business fixed cost is Fc, selling price of a unit is Sp, and Cost of production of a unit is Cp. How many units, x, should Ray Holt maketo meet the investor’s rate of return requirement? If the requested rate of return is 10%, fixed cost is $10,000, selling price is $5, and cost of production is $3, how many units should be made?. A 100 cu.m. pit is to be excavated using a hydraulic excavator with a rate of 7.1 cu.m. per hour. The rental price of the hydraulic excavator is P12,600.00 per day. If the excavator is used 8 hours per day, determine the equipment cost to finish the excavation work. 18-21. The material cost of a certain scope of work has a total of P250,500.00. Determine the number of days to finish the work if they are using 3 tools that has a rental price of P760.00 per day each. Use (Labor Cost + Equipment Cost)/Material Cost = 30% Workers Salary per day P1050.00 P650.00 P480.00 P320.00 Project Engineer Foreman 2 Skilled Laborer 3 Laborer
- 1. An electronics component manufacturer produces high precision assemblies for the aeronautics and space industry, controls for kitchen appliances, and some items for industrial equipment. Company's purchased parts are given in the following table. Product No 575 607 625 811 947 024 413 483 Unit Cost ($) Annual Volume (units) 3,200 2,500 93.00 31.00 212.00 130.00 618.00 720.00 0.25 0.60 320 475 300 300 25,000 6,800 Product No 495 211 273 435 825 661 893 Unit Cost ($) 1.25 6.30 75.00 63.00 84.00 1.00 485.00 Annual Volume (units) 15,000 3,000 3,000 450 30 4,000 65 Classify the company's purchased parts according to ABC principles. (b) Create an exchange curve for this population of inventoried items. (c) Suppose that the company is operating with a total cycle of $70,000 and 24 numbers of orders. Comment this operating system. (a)need answer of this question6) Nicole has decided to go to school which costs her a total of P19,500 and give upi on a job that paid her P24,900 for the year. But instead, she can hope to earn P29,900 after she graduates. Nicole's opportunity cost amount to?a. P19,500 b. P24,900c. P29,900d. P5,000 7. Villanueva Enterprises reported the ff. information. What is the cost of goods manufactured in February?I. Jan. 2017 -job accumulated cost of P3,000ii. Feb. 2017 -the following costs were added to production: Job 1-P10,000 Job 2-P8,000Job 3-P7,000 III. Feb. 2017 Job 1 was completed and sold for P18,000 Job 2 was completed but not sold Job 3 remains in production b. P8,000c. P10,000 d. P13,000e. P21,000 8. Julie borrowed a certain amount from Diane on June 2016. Two years later, Julle i again borrowed P5,000. Julie decided to pay P1,000 on June 2019 and dischargei her balance by paying P7,500 on June 2021. What was the amount borrowed oni June 2016 if the interest rate is 8% compounded annually?a. P1,389.50 b.…
- The Porsche Club of America sponsors driver education events that provide high-performance driving instruction on actual race tracks. Because safety is a primary consideration at such events, many owners elect to install roll bars in their cars. Deegan Industries manufactures two types of roll bars for Porsches. Model DRB is bolted to the car using existing holes in the car's frame. Model DRW is a heavier roll bar that must be welded to the car's frame. Model DRB requires 20 pounds of a special high alloy steel, 40 minutes of manufacturing time, and 60 minutes of assembly time. Model DRW requires 25 pounds of the special high alloy steel, 100 minutes of manufacturing time, and 40 minutes of assembly time. Deegan's steel supplier indicated that at most 38,000 pounds of the high-alloy steel will be avallable next quarter. In addition, Deegan estimates that 2,000 hours of manufacturing time and 1,800 hours of assembly time will be available next quarter. The profit contributions are $200…The Porsche Club of America sponsors driver education events that provide high-performance driving instruction on actual race tracks. Because safety is a primary consideration at such events, many owners elect to install roll bars in their cars. Deegan Industries manufactures two types of roll bars for Porsches. Model DRB is bolted to the car using existing holes in the car's frame. Model DRW is a heavier roll bar that must be welded to the car's frame. Model DRB requires 20 pounds of a special high alloy steel, 40 minutes of manufacturing time, and 60 minutes of assembly time. Model DRW requires 25 pounds of the special high alloy steel, 100 minutes of manufacturing time, and 40 minutes of assembly time. Deegan's steel supplier indicated that at most 36,000 pounds of the high-alloy steel will be available next quarter. In addition, Deegan estimates that 2,000 hours of manufacturing time and 1,700 hours of assembly time will be available next quarter. The profit contributions are $200…3. As manager of the St. Cloud Theater Company, you have decided that concession sales would support themselves. The following table provides the information you have been able to put together thus far: Item Softdrink Selling Price $1.00 Variable Cost $0.65 Percent of Revenue Wine Coffee 1.75 1.00 0.95 0.30 25 25 30 Candy 1.00 0.30 20 Last year's manager. Jim Freeland, has advised you to add 10% of variable cost as a waste allowance for all categories. You estimated labor cost to be $250.00 (5 booths with 2 people each). Even if nothing is sold, your labor cost will be $250.00, so you decide to consider this as fixed cost. Booth rental, which is a contractual cost of $50.00 for each booth per night, is also a fixed cost. a. What is the break-even volume per evening of performance? b. How mush would you expect to sell each evening at the break-even point?