A Company Has the Following Usage of Inputs, Constraints on Inputs

question 36

Essay

A company has the following usage of inputs, constraints on inputs and profit margins to make their three products.
$$\begin{array} { l l l l l } \text { Product } & \text { Wiring } & \text { Drilling } & \text { Assembly } & \text { Profit } \\\text { X202 } & 0.6 & 0.41 & 0.8 & 14 \\\text { Y303 } & 0.1 & 0.57 & 0.47 & 9.75 \\\text { Z404 } & 0.35 & 0.3 & 0.26 & 12.25\end{array}$$ There are maximum amounts of the following: 1625 hours for wiring, 1750 hours for drilling and 1175 hours for Assembly. Make sure that the units produced are integers. Solve for the above problem.
a) How many units of each product will be made?
b) What is the maximum profit?
c) Which input has the most amount of slack?

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Definitions:

Bulbourethral Glands

Small glands located on either side of the urethra in males that secrete a fluid contributing to the lubrication of the urethra for spermatozoa to pass through.

Leydig Cells

Leydig cells, found in the testes, are responsible for the production of testosterone, a key hormone in the development of male secondary sexual characteristics.

Sustentacular Cells

Sustentacular cells, also known as supporting cells, provide physical support and nourishment to the spermatogenic cells within the seminiferous tubules of the testis.

Luteinizing Hormone

A hormone produced by the anterior pituitary gland that triggers ovulation in females and stimulates testosterone production in males.