Minimize $c = 2.2 x + y + 3.3 z$ Subject To

question 38

Multiple Choice

Minimize $c = 2.2 x + y + 3.3 z$
Subject to
$$\begin{aligned}x + 1.5 y + 1.2 z & \geq 150 \\2 x + 1.5 y & \geq 40 \\1.5 y + 1.1 z & \geq 40 \\x \geq 0 , y \geq 0 , z & \geq 0\end{aligned}$$
Round all answers to two decimal places.

• A) \(c = 320\) , \(x = 100\) , \(y = 100\) , \(z = 0\)
• B) \(c = 330\) , \(x = 0\) , \(y = 0\) , \(z = 100\)
• C) \(c = 100\) , \(x = 0\) , \(y = 100\) , \(z = 0\)
• D) \(c = 550\) , \(x = 100\) , \(y = 0\) , \(z = 100\)
• E) \(c = 220\) , \(x = 100\) , \(y = 0\) , \(z = 0\)

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Definitions:

Marginal Cost Curves

Graphs that depict how the cost of producing one more unit of a good changes as production increases.

Profit Maximizing

The process or strategy of adjusting production and operation levels to achieve the highest possible profit.

Shutdown Condition

A criterion in economics indicating the point at which a firm's revenue is not sufficient to cover its variable costs, prompting it to cease operations.

Marginal Cost Curve

A curve that graphically represents the cost of producing one additional unit of a good, typically illustrating how marginal cost varies with the quantity produced.