Assume the availability in the finishing and packaging departments are 350 and 125 hours respectively.What is the optimal maximum profit? Sporting Goods Product Mix. Kelson Sporting Equipment, Inc. makes two types of baseball gloves: a regular model and a catcher's model. The firm has 900hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and 100 hours available in itspackaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table:Production Time (hours)ModelCutting and SewingFinishingPackaging and ShippingProfit/GloveRegular model1/21/8$51Catcher's model3/21/31/4$8

Let x represents the regular model and y represents the catcher's model. From the given information,…

Answered: Assume the availability in the…

Assume the availability in the finishing and packaging departments are 350 and 125 hours respectively. What is the optimal maximum profit?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 21T: A manufacturer produces two models of television stands. The table at the left shows the times (in...

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A manufacturer produces two models of television stands. The table at the left shows the times (in hours) required for assembling, staining, and packaging the two models. The total times available for assembling, staining, and packaging are 3750 hours, 8950 hours, and 2650 hours, respectively. The profits per unit are $30 for model I and $40 for model II. What is the optimal inventory level for each model? What is the optimal profit?
Redo Exercise 5, assuming that the house blend contains 300 grams of Colombian beans, 50 grams of Kenyan beans, and 150 grams of French roast beans and the gourmet blend contains 100 grams of Colombian beans, 350 grams of Kenyan beans, and 50 grams of French roast beans. This time the merchant has on hand 30 kilograms of Colombian beans, 15 kilograms of Kenyan beans, and 15 kilograms of French roast beans. Suppose one bag of the house blend produces a profit of $0.50, one bag of the special blend produces a profit of $1.50, and one bag of the gourmet blend produces a profit of $2.00. How many bags of each type should the merchant prepare if he wants to use up all of the beans and maximize his profit? What is the maximum profit?
If during the following year it is predicted that each comedy skit will generate 30 thousand and each musical number 20 thousand, find the maximum income for the year. A television program director must schedule comedy skits and musical numbers for prime-time variety shows. Each comedy skit requires 2 hours of rehearsal time, costs 3000, and brings in 20,000 from the shows sponsors. Each musical number requires 1 hour of rehearsal time, costs 6000, and generates 12,000. If 250 hours are available for rehearsal and 600,000 is budgeted for comedy and music, how many segments of each type should be produced to maximize income? Find the maximum income.
Swain Athletic Gear (SAG) operates six retail outlets in a large Midwest city. One is in the center of the city on Cornwall Street and the others are scattered around the perimeter of the city. Management at SAG is concerned about declining sales and profitability of the Cornwall store and believes that outlet has been a drag on profits in recent years. The most recent income statement for the Cornwall store follows. SWAIN ATHLETIC GEAR Cornwall Street Store Income Statement For the Year Ending February 28 Sales revenue $ 12,300,000 Costs Cost of goods sold $ 5,289,000 Advertising 1,421,000 Store administrative salaries 975,000 Sales commissions 1,056,000 Leases and utilities 2,100,000 Allocated corporate support 1,622,000 Total costs $ 12,463,000 Net loss before tax benefit $ (163,000) Tax benefit at 25% (40,750) Net loss $ (122,250) The CFO at SAG has asked for your advice on closing the Cornwall Street store. If the Cornwall Street store is…
Please answer C. and D. Palisades Eco-Park is a small ecological reserve that admits a relatively small number of visitors on any day, but provides both educational and entertaining lectures, exhibitions, and opportunities to observe nature. The company has collected the following data on labor costs and number of visitors to the park over the last 30 months. Month Labor Cost Visitors 1 $ 25,820 1,700 2 $ 36,290 2,592 3 $ 39,968 2,811 4 $ 31,648 2,222 5 $ 34,809 2,373 6 $ 32,672 2,181 7 $ 32,023 2,205 8 $ 38,334 2,676 9 $ 38,568 2,760 10 $ 46,933 3,572 11 $ 42,157 2,976 12 $ 39,030 2,804 13 $ 34,444 2,415 14 $ 33,173 2,336 15 $ 36,971 2,508 16 $ 26,500 2,099 17 $ 30,663 3,397 18 $ 29,961 2,786 19 $ 27,590 2,412 20 $ 30,003 2,972 21 $ 25,692 2,000 22 $ 24,655 1,794 23 $ 28,892 3,267 24 $ 30,153 3,817 25 $ 28,119 2,592 26 $ 31,690 3,274 27 $ 28,651 2,989 28 $ 29,927 3,050 29 $ 28,438 2,511 30 $ 27,874 2,075…
beauty 4. To help Companies in the U.S. car rental market vary greatly in terms of the size of the fleet, the number of locations, and annual revenue. In 2011, Hertz had 320,000 cars in service and annual revenue of approximately $4.2 billion. The following data show the number of cars in service (1000s) and the annual revenue ($millions) for six smaller car rental companies. Company U-Save Auto Rental System, Inc. Cars (1000s) Revenue ($millions) 111.5 1182 Payless Car Rental System, Inc. 100.0 1353 ACE Rent A Car 93.3 1004 Rent-A-Wreck of America 54.5 373 Triangle Rent-A-Car 47.2 409 Affordable/Sensible 35.3 327 a. Develop a scatter diagram with the number of cars in service as the independent variable. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? b. Develop and interprete the estimated regression equation C. Does the above data provide a good model fit for the estimate regression equation? 5. According to the…
Please answer in paper, do not use excel. Thank you
Operations Research 1Do as Indicated
A furniture store expects to sell 120 coffee tables during the next year. It costs $1.50 to store one coffee table for one year. To reorder, there is a fixed cost of $10, plus $2.80 for each coffee table ordered. In what lot size and how many times per year should an order be placed to minimize inventory costs? coffee tables per order orders per year
Accounting procedures allow a business to evaluate its inventory costs based on two methods: LIFO (last in first out) or FIFO (first in first out). A manufacturer evaluated its finished goods inventory (in $000s) for five products with the LIFO and FIFO methods. To analyze the difference, they computed FIFO - LIFO for each product. We would like to determine if the LIFO method results in a lower cost of inventory than the FIFO method. The company wishes to test this hypothesis at the 0.05 level of significance. Product 1 2 4 5 FIFO (F) LIFO (L) 228 220 122 101 105 117 215 205 250 246 What is the value of the test statistic? Multiple Choice +0.70 13.002 +2.358 +1159
2. Cost of a Hybrid Vehicle You may have wondered what the break-even point is for purchasing a hybrid vehicle if you paid in cash (no interest). Below is data for two models of Honda Civic bases on $4.00 per gallon gas prices. Base Price ($) Cost/Mile ($) Civic Hybrid 22,600 $0.095 Civic Ex $18,710 240.14 Source greencar.com a. Find the cost function for each car, as a function of miles driven x. b. Determine the break-even miles. This represents the number of miles you would need to drive the hybrid before it becomes the cheaper alternative.
Suppose that a company needs 1,200,000 items during a year and that preparation for each production run costs $500. Suppose also that it costs $18 to produce each item and $3 per year to store an item. Use the inventory cost model to find the number of items in each production run so that the total costs of production and storage are minimized. items/run