Question

MAXIMIZING PROFIT: CUSTOM GAMING PCs

You are the owner of a mid-sized computer manufacturing and assembling facility – what started as a small business building and customizing computers for friends and family has grown into a much larger operation, and you want to make sure you are using your labor hours in the most efficient way to maximize your profits. Your company manufactures and assembles three types of custom gaming PCs, and the amount of manufacturing and assembling times required for each model along with the profit you make on each unit are given below:

Model Name	Manufacturing Time (in hours)	Assembling Time (in hours)	Profit (per unit sold)
Dendrite Ice	2	2	$280
Neuron Pro	3	2	$320
Axon Glacier Pro	2	4	$400

Your labor budget each week is 1,000 hours of total manufacturing time, and 1,600 hours of assembly time. How many of each type of custom gaming PC should you task your teams with creating each week to maximize your profit?

1.    (4 points) Identify the variables you are solving for in this problem (assign a letter name and describe each in word) and write down the constraints of the problem using inequalities (include any ‘natural’ constraints as well).

2.    (2 points) Write down an equation for the objective function you are trying to maximize (profit). Rewrite this equation into the form of an inequality that you will use to enter it into the simplex tableau.

Answer 1