Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 925 hours of production time available in its cutting and sewingdepartment, 300 hours available in its finishing department, and 100 hours available in its packaging and shipping department. The production time requirements and the profit contribution per gloveare given in the following table.ModelMaxRegular modelCatcher's models.t.cutting and sewingfinishingpackaging and shippingR, C20Cutting and Sewing Finishing1²3Production Time(hours)1glovesgloves1Assuming that the company is interested in maximizing the total profit contribution, answer the following.(a) What is the linear programming model for this problem? (Assume R is the number of units of regular model gloves and C is the number of units of catcher's model gloves.)Packaging and Profit/GloveShipping1$3$5(b) Find the optimal solution using the graphical solution procedure. How many gloves of each model should Kelson manufacture?regular modelcatcher's modela) Krisen can earn with the given production quantities? R, C20(b) Find the optimal solution using the graphical solution procedure. How many gloves of each model should Kelson manufacture?regular modelcatcher's modelglovesgloves(c) What is the total profit contribution (in dollars) Kelson can earn with the given production quantities?$Need Help?W(d) How many hours of production time will be scheduled in each department?cutting and sewingfinishingpackaging and shipping(e) What is the slack time (in hours) in each department?cutting and sewingfinishingpackaging and shippingRead Ithourshourshourshourshourshours

Here, we have regular and catcher's models, The constraints are cutting and sewing, finishing and…

Answered: Assuming that the company is interested…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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A department store sells different models of bicycle. They are currently planning to place an order with their wholesaler. The table below shows the different models of bike, their profits, how much space they take up in inventory, and how many hours of assembly time are needed. Max s.t. Model Adult's trail bike Adult's city bike Child's trail bike Child's city bike storage space assembly time order size Profit (in $) X₁, X₂, X3, X4 20 40 24 21 20 Inventory Space (in ft) Assembly Time (in hours) 2 2 Five hundred forty feet of storage are available for storing the bikes, and 1,250 hours of assembly time is available. The store wishes to place an order for at least 275 bicycles. They are assuminging every bicycle will be sold. (Let X₁ = number of adult's trail bikes ordered. Let X₂ = number of adult's city bikes ordered. Let X3 = number of child's trail bikes ordered. Let X₁ = number of child's city bikes ordered.) (a) Formulate a linear programming model for this problem that will…
L. Houts Plastics is a large manufacturer of injection-molded plastics in North Carolina. An investigation of the company's manufacturing facility in Charlotte yields the information presented in the table below. How would the plant classify these items according to an ABC classification system? (Round dollar volume to the nearest whole number and percentage of dollar volume to two decimal places.) Item number 2349 should be classified as Item Code 1289 2347 2349 2363 2394 2395 6782 7844 8210 8310 9111 Item number 8210 should be classified as L. Houts Plastics Charlotte Inventory Levels Avg. Inventory (units) Value ($/unit) 3.75 420 300 120 60 60 322576 20 12 4.00 2.50 1.80 1.75 2.25 1.15 2.05 2.00 2.00 3.00 Dollar Volume 1,200 300 105 23 25 % of Dollar Volume 34.72 8.68 3.04 0.67 0.71 14 18 3,456 For the following three questions, consider only items 1289, 2349, and 8210 from the above table for relative classification (these are some of the items for which you computed the metrics).…
LP Model Formulation Please make sure that your answers in LP Model Formulation are composed of Decision Variables, Objective Function and Constraints. 1. RDB caterer must prepare from five fruit drinks in stock 500 gal of a punch containing at least 20 percent orange juice, 10 percent grapefruit juice, and 5 percent cranberry juice. If inventory data are as shown below, formulate the LP model that will enable RDB caterer to determine how much of each fruit drink to use to obtain the required composition at minimum total cost. Orange Juice,% Cranberry Supply, gal Cost ($) / gal Grapefruit Juice,% Juice,% Drink A 40 40 200 1.5 Drink B 5 10 20 400 0.75 Drink C 100 100 2.00 Drink D 100 50 1.75 Drink E 800 0.25
2. The Alpha Shoe Company purchases leather from Beta Textile Mills. The Alpha Company uses 15,000 yard of the leather per year (365 days) to make shoes. The cost of ordering leather from textile company is P100,000 per order. It cost Alpha P30 per yard annually to hold a yard of leather in inventory. Determine the optimal number of yards of leather the Alpha Company should order, the minimum total annual inventory cost, the optimal number of orders per year and the optimal time between orders.
An online retailer sells 1,500 t-shirts per year. The cost of the t-shirts to the store is $3.00 and the cost of placing an order is $15 per order. It cost $0.60 per t-shirt per year for the retailer to hold the t-shirts. The retailer sells the t-shirts for $9.99. Determine (a) the optimal order quantity, (b) the order frequency (c) the annual holding and setup cost.
Please circle the most correct answer. It could be more than one.
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