A toy car is composed of a body assembly and four wheels. The body assembly includes a hood, a top, a base, two sides, and a trunk. Inventories and lead times for each part are shown below. 675 toy cars are needed for an order in week 12. Part Inventory Lead Time (weeks) Toy car 100 2 Body assembly 175 4 Hood 100 3 Top 100 2 Base 175 4 Side 150 3 Trunk 300 2 Wheels 575 3

A toy car is composed of a body assembly and four wheels. The body assembly includes a hood, a top, a base, two sides, and a trunk. Inventories and lead times for each part are shown below. 675 toy cars are needed for an order in week 12. Part Inventory Lead Time (weeks) Toy car 100 2 Body assembly 175 4 Hood 100 3 Top 100 2 Base 175 4 Side 150 3 Trunk 300 2 Wheels 575 3

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section: Chapter Questions

Problem 111P

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As the production planner for Xiangling Hu Products, Inc., you have been given a bill of material for a bracket that is made up of a base, 2 springs, and 4 clamps. The base is assembled from 2 clamps and 1 housing. Each clamp has 1handle and 1 casting. Each housing has 2 bearings and 2 shafts. There is no inventory on hand. c) Compute the net quantities needed if there are 25 of the base and 100 of the clamp in stock. Base: units (enter your response as a whole number). Spring: units Clamp: units Housing: units Handle units Casting: units Bearing: units Shaft: units
Tots Toys makes a plastic tricycle that is composed of three major components: a handlebar-front wheel-pedal assembly, a seat and frame unit, and rear wheels. Please note that each tricycle requires two rear wheels, the front wheel is included in the front wheel-pedal assembly. The company has orders for 15,000 of these tricycles. Current schedules yield the following information: component plastic time space cost to manufacture cost to purchase front 2 11 2 7 11 seat/frame 3 7 2 6 10 rear 0.5 2.5 0.2 2 5 available 60000 180000 35000 The company obviously does not have the resources available to manufacture everything needed for the completion of 15,000 tricycles so has gathered purchase information for each component. Develop a linear programming model to tell the company how many of each component should be manufactured and how many should be purchased in order to provide 15,000 fully completed tricycles at the minimum cost. (state the objective function, decision…