(see attached images, kindly answer it based on your knowledge, thank you!) PRODUCTION-MIX EXAMPLESOLVE:Solve this LP problem as formulated. What is the solution? PRODUCTION-MIX EXAMPLEExample:Failsafe Electronics Corporation primarily manufactures four highly technical products, which it supplies toacrospace firms that hold NASA contracts. Each of the products must pass through the following depart-ments before they are shipped: wiring, drilling, assembly, and inspection. The time requirements in eachdepartment (in hours) for each unit produced and its corresponding profit value are summarized in this table:DEPARTMENTPRODUCTDRILLINGINSPECTION UNIT PROFITWIRINGASSEMBLYXJ201.53..5XM8971.541.0$12TR29$151.51.5BR7881.0.5$11The production time available in each department each month and the minimum monthly productionrequirement to fulfill contracts are as follows:DEPARTMENTCAPACITY (HOURS)MINIMUM PRODUCTION LEVELPRODUCTWiring1,500XJ201150Drilling2,350XM897100Assembly2,600TR29200Inspection1,200BR788400Example:APPROACH ► Formulate this production-mix situation as an LP problem. The production managerfirst specifies production levels for each product for the coming month. He lets:X, = number of units of XJ201 producedX2 = number of units of XM897 producedX3 = number of units of TR29 producedX4 = number of units of BR788 producedSOLUTION The LP formulation is:Objective: Maximize profit = 9X1 + 12X, + 15X3 + 11X,subject to:.5X + 1.5X, + 1.5X3 + 1X4 s 1,500 hours of wiring available3X1 + 1X2 + 2X3 + 3X4 s 2,350 hours of drilling available2X, + 4X2 + 1X3 + 2X45 2,600 hours of assembly available.5X, + 1X + .5X3 + .5X4 s 1,200 hours of inspectionX 2 150 units of XJ201Xz z 100 units of XM897X3 z 200 units of TR29X4 z 400 units of BR788X1, Xz. X3, Xạ z 0INSIGHT There can be numerous constraints in an LP problem. The constraint right-hand sides maybe in different units, but the objective function uses one common unit–dollars of profit, in this case.Because there are more than two decision variables, this problem is not solved graphically.

Introduction: The term Market refers to an exchange of goods and services between the buyer and the…

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Business

Operations Management

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Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 59P

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1. A company that produces golf carts has just received an order for 200 carts, which must be ready for delivery at the start of week 8. Information concerning the product structure, lead times and quantities on hand is shown in the following table. Parts list for golf cart Lead time Quantity on hand Golf cart Top Base 1 1 1 0 40 20 Top Supports(4) Cover 1 1 200 0 Base Motor Body Seats (2) 2 3 2 300 50 120 Body Frame Controls Wheel assemblies(4) 1 1 1 35 0 240 You are required to: a) Construct a product tree.