Smith Manufacturing is a major player in the lawn sprinkler business. Their high-end sprinkler is used commercially, and is quite popular with golf course greens keepers. In producing these sprinklers Smith's fixed cost (CF) is $50,000 per month with a variable cost (c,) of $10 per unit. The selling price for these high-end sprinklers is described by the equation p=$90 – 0.2(D). a) What is the optimal volume of sprinklers? b) Does Smith make a profit at that volume?
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- n A company produces two types of solar panels per year: x thousand of type A and y thousand of type B. The revenue and cost equations, in millions of dollars, for the year are given as follows. R(x, y) = 6x + 5y, C(x, y) = x² - 4xy+9y² + 12x-47y-7. Evaluate the maximum profit Oa. $80 million O b. $90 million Oc $96 million Od. $75 millionPanda Toys Inc. plans to sell one line of its panda toys for $ 20. The material cost per unit is $4 and unit labor cost is $6. The annual overhead fixed costs are $ 500,000 and the promotion and advertising cost is $100,000. If the unit labor cost is dropped to $ 5, what is the $BEP for the company? O $1,200.000 $1.000.000 O $1,050.000 O $1,300.000 O $1.090.920sarah earns 400 per week and spends 15% of her earning on tranpotation every week
- . A call center in India used by U.S. andU.K. credit card holders has a capacity of1,400,000 calls annually. The fixed cost ofthe center is $775,000 with an averagevariable cost of $2 and revenue of $3.50 percall.(a) Find the percentage of the capacitythat must be placed each year tobreak even.1 Vehicle purchase. A student living in Lower Hutt is considering the purchase of a newvehicle. An electric vehicle (EV) can be purchased for $40,000 and has a running cost of $0.20per km. Alternatively, a (petrol) combustion vehicle (CV) can purchased for $25,000 and has arunning cost of $0.45 per km. The student is determined to make a decision which minimisesthe total cost depending on the number of kilometres that the vehicle will be used.(Here you should assume that the running costs also account for periodic costs such as mainte-nance, insurance, registration.)(a) Describe the decision and environment variables associated with this problem.(b) Determine the utility function R(D, X) which maps the outcomes to the total cost incurred.(c) Use a break-even analysis to determine the number of km for which the optimal decisiondiffers above and below this amount. Specifically, plot R(D, X), determine where thebreak-even point occurs and mark it clearly on your plot, then briefly…Develop a plot of the average cost per unit versusproduction quantity for the houseware applianceassembly department of Ace-One, Inc., that has afixed cost of $160,000 per year and a variable costof $4.00 per unit; use it to answer the followingquestions.(a) At what quantity is a $5 per unit average costjustified?(b) If the fixed cost increases to $200,000, plot thenew curve on the same graph and estimate thequantitythat justifies an average cost of $6 per unit.
- A local company assembling stereo radio cassette produces 300 units per month at a costof P800 per unit. Each stereo radio cassette sells for P1,200. If the firm makes a profit of10% on its 10,000 shares with a par value of P200 per share, and fixed cost are P20,000per montha. What is the break-even point?b. How much is the loss or profit if only 100 units are produced in a given monthIn Sheridan Company, total materials costs are $37,600, and total conversion costs are $61.560 for June. Equivalent units of production are materials 10,000 and conversion costs 12.000. (a1) Compute the unit costs for materials and conversion costs. (Round answers to 2 decimal places, eg. 2.25.) Materials cost per unit %24 Conversion cost per unit %24Ace Shoe Company sells heel replacement kits for men's shoes. It has fixed costs of $10 million and unit variable costs of S5 per pair. If the company charges $15 per pair, how many pairs must it sell to break even ? And what dollar profit level would the company achieve if 15 million kits were sold ? Please show the necessary steps of how to get the results.