MAXIMIZING PROFIT: CUSTOM GAMING PCs
You are the owner of a mid-sized computer manufacturing andassembling facility – what started as a small business building andcustomizing computers for friends and family has grown into a muchlarger operation, and you want to make sure you are using yourlabor hours in the most efficient way to maximize your profits.Your company manufactures and assembles three types of customgaming PCs, and the amount of manufacturing and assembling timesrequired for each model along with the profit you make on each unitare 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 totalmanufacturing time, and 1,600 hours of assembly time. How many ofeach type of custom gaming PC should you task your teams withcreating each week to maximize your profit?
1. Provide the solution to your completed tableau, listing thevalues for each variable (including any slack variables) and theobjective function. Finally, state the solution in terms of ouroriginal problem: how many of each type of custom gaming PC shouldyour teams manufacture each week in order to maximize yourprofits?