Green Vehicle​ Inc., manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either​ vehicle, processing in the assembly shop and in the paint shop are required. It takes ​1/25 of a day and ​1/60 of a day to paint a truck of type T1 and a car of type C1 in the paint​ shop, respectively. It takes ​1/45 of a day to assemble either type of vehicle in the assembly shop. A T1 truck and a C1 car yield profits of $300 and $220​, ​respectively, per vehicle sold. The optimum solution​ is: Number of trucks to be produced per day​ = ? ​(round your response to two decimal​ places).

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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Green Vehicle​ Inc., manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either​ vehicle, processing in the assembly shop and in the paint shop are required. It takes ​1/25 of a day and ​1/60 of a day to paint a truck of type T1 and a car of type C1 in the paint​ shop, respectively. It takes ​1/45 of a day to assemble either type of vehicle in the assembly shop.

A T1 truck and a C1 car yield profits of $300 and $220​, ​respectively, per vehicle sold.

The optimum solution​ is:
Number of trucks to be produced per day​ = ? ​(round your response to two decimal​ places).
Expert Solution
Step 1 - Introduction

Given data is

Profit from truck = $300

Profit from car = $220

Painting time required for truck = 0.04 day

Painting time required for car = 0.017 day

Assembly time required for truck and car = 0.022 day

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