A Building in the Shape of a Rectangular Box Is

question 163

Short Answer

A building in the shape of a rectangular box is to have a volume of 21,000ft³ (see the figure). It is estimated that the annual heating and cooling costs will be $2/square foot for the top, $7/square foot for the front and back, and $3/square foot for the sides. Find the dimensions of the building that will result in a minimal annual heating and cooling cost. What is the minimal annual heating and cooling cost(C)?
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x = __________
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y = __________
​
z = __________
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C = __________

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Definitions:

Quota

A government-imposed trade restriction limiting the number or value of goods that can be imported or exported during a specific time.

Consumers Pay

The amount of money paid by consumers to purchase goods and services, reflecting their expenditure on consumer products.

Quotas

Limits set by a government on the quantity of a good that can be imported or exported during a specified time period.

Price Ceilings

Government-imposed limits on the prices that can be charged for goods and services to prevent them from becoming too expensive.