A Company Manufactures a Product Using X, Y and Z $Q = 60 x ^ { \frac { 1 } { 3 } } y ^ { \frac { 1 } { 4 } } z ^ { \frac { 2 } { 5 } }$

question 34

Essay

A company manufactures a product using x, y and z units of three different raw materials.The quantity produced is given by the function $Q = 60 x ^ { \frac { 1 } { 3 } } y ^ { \frac { 1 } { 4 } } z ^ { \frac { 2 } { 5 } }$ .Suppose the cost of the materials per unit is $20, $25 and $75 respectively.
Find the maximum production if the budget is limited to $6000.

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Definitions:

Verbally

involves the use of spoken words to convey information, instructions, or ideas.

Implied

Suggested or understood without being directly expressed or explicitly stated.

Unlimited Liability

The legal obligation of business owners to bear any and all debts of the business with their personal assets.

Personal Assets

Individual possessions or properties, including money, that belong to a person, not related to business assets.