Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 400 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and 200 hoursavailable in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table:Production Time (Hours)Cutting andPackaging andModelSewingFinishingShippingProfit/GloveRegular model1/811/2$5Catcher's model1/21/23/2$7Assuming that the company is interested in maximizing the total profit contribution, answer the following:(a) What is the linear programming model for this problem? If required, round your answers to 3 decimal places or enter your answers as a fraction. If the constant is "1" it must be entered in the box. Do not round intermediate calculation. If an amount is zero, enter"0".Let R = number of units of regular model.C = number of units of catcher's model.МаxR +s.t.R +C - Select your answer -Cutting and SewingR +c - Select your answerFinishingR +Select your answer - VPacking and ShippingR, C- Select your answer - v(b) Develop a spreadsheet model and find the optimal solution using Solver. How many gloves of each model should Kelson manufacture?Regular Model =unitsCatcher's Model =units(c) What is the total profit contribution Kelson can earn with the given production quantities?(d) How many hours of production time will be scheduled in each department?DepartmentProduction Time (Hours)Cutting and SewingFinishingPacking and Shipping(e) What is the slack time in each department? If your answer is zero, enter "0".DepartmentSlack Time (Hours)Cutting and SewingFinishingPacking and Shipping

*Answer: R – number of units of regular model. C – number of units of catcher’s model. Max 5R +…

sel 1/2 1/2 3/2 the company is interested in maximizing the total profit contribution, answer the following: he linear programming model for this problem? If required, round your answers to 3 decimal places or enter your answers as a fraction. If the constant is "1" it must be entered in the box. Do not round umber of units of regular model. number of units of catcher's model. R+ c- Select your answer Cutting and Sewing R+ c- Select your answer - Finishing R+ c- Select your answer Packing and Shipping R.C Select your answer - spreadsheet model and find the optimal solution using Solver. How many gloves of each model should Kelson manufacture? Model- units Model - units he total profit contribution Kelson can earn with the given production quantities? y hours of production time will be scheduled in each department? ment Production Time (Hours) and Sewing and Shipping he slack time in each department? If your answer is zero, enter "0". ment Slack Time (Hours) and Sewing and Shipping

sel 1/2 1/2 3/2 the company is interested in maximizing the total profit contribution, answer the following: he linear programming model for this problem? If required, round your answers to 3 decimal places or enter your answers as a fraction. If the constant is "1" it must be entered in the box. Do not round umber of units of regular model. number of units of catcher's model. R+ c- Select your answer Cutting and Sewing R+ c- Select your answer - Finishing R+ c- Select your answer Packing and Shipping R.C Select your answer - spreadsheet model and find the optimal solution using Solver. How many gloves of each model should Kelson manufacture? Model- units Model - units he total profit contribution Kelson can earn with the given production quantities? y hours of production time will be scheduled in each department? ment Production Time (Hours) and Sewing and Shipping he slack time in each department? If your answer is zero, enter "0". ment Slack Time (Hours) and Sewing and Shipping

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ

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