Robin Tires, Inc ​
Assuming That the Company Is Interested in Maximizing the SUVs

question 40

Essay

Robin Tires, Inc. makes two types of tires, one for SUVs and the other for Hatchbacks.
The firm has the following limits - 500 hours for production, 250 hours for packaging, and 150 hours for shipping.
The times required per tire type is given in the following table. $$\begin{array} { | l | c | c | c | c | } \hline & \text { Production Hours } & & { } \\\hline \text { Type } & \text { Production } & \text { Packaging } & \text { Shipping } & \text { Profit/Tire } \\\hline \text { SUV tires } & 2 & 1.5 & 1 & \$ 22 \\\hline \text { Hatchback } & & & & \\\text { tires } & 1.5 & 1 & 0.5 & \$ 12 \\\hline\end{array}$$ ​
Assuming that the company is interested in maximizing the total profit contribution, answer the following:
a. What is the linear programming model for this problem?
b. Develop a spreadsheet model and find the optimal solution using Excel Solver.How many tires of each model should Robin manufacture?
c. What is the total profit contribution Robin can earn with the optimal production quantities?

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Definitions:

Secondary Pollutants

Pollutants that are not emitted directly into the air, but form when primary pollutants react in the atmosphere.

Earth's Surface

The outermost layer of the Earth, encompassing both land masses and water bodies.

Grey-Air Smog

A type of air pollution characterized by a mixture of pollutants, including particulate matter and chemicals, that gives the air a dirty, grey appearance.

Carbonic Acid

A weak acid formed when carbon dioxide is dissolved in water, it plays a crucial role in the carbon cycle and ocean acidification.