# Quantitative Methods Assignment

Anonymous

### Question Description

Hi, I need a detailed answer for Question 1 only.

And I can only afford the budget that I have set.

Appreciate if you can help a poor student whose lecturer is of no help.

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charlisewrite
School: University of Maryland

there you go buddy

Sensitivity Analysis

Student Name:

Institution:

1

QUANTITATIVE METHODS

2

`
Introduction

This is a maximization linear programming problem. Therefore formulation of
equations is quite important step to solving the problem. The maximum numbers of SUV and
Car allowed for Jake to manufacture for each quarter are given below:
Maximum Allowed

SUV in units

Car in units

1st Quarter

200

400

2nd Quarter

300

900

3rd Quarter

100

700

4th Quarter

400

1000

Formulation of Linear Equations
Since this is a profit maximization problem, we form decision variables as follow;
Decision variables
Let X= number of SUV manufactured in a quarter
Y = the number of Cars manufactured in a quarter.
Next is the formulation of objective function based on the profit per the type of car
manufactured;
Maximize: 2000X + 150
Subject to constraints:
1.8X +0.8 Y ≤ 1000 (Num...

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