A Firm's Weekly Profit (In Dollars) in Marketing Two Products $P = 192 x _ { 1 } + 576 x _ { 2 } - x _ { 1 } ^ { 2 } - 5 x _ { 2 } ^ { 2 } - 2 x _ { 1 } x _ { 2 } - 5000$

question 76

Multiple Choice

A firm's weekly profit (in dollars) in marketing two products is given by $P = 192 x _ { 1 } + 576 x _ { 2 } - x _ { 1 } ^ { 2 } - 5 x _ { 2 } ^ { 2 } - 2 x _ { 1 } x _ { 2 } - 5000$ where $x _ { 1 }$ and $x _ { 2 }$ represent the numbers of units of each product sold weekly. Estimate the average weekly profit when $x _ { 1 }$ varies between 40 and 50 units and $x _ { 2 }$ varies between 45 and 50 units.

• A) \(\$ 12,300\)
• B) \(\$ 11,100\)
• C) \(\$ 13,400\)
• D) \(\$ 21,760\)
• E) \(\$ 16,450\)

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Definitions:

Objective Methods

Approaches or techniques based on unbiased observations and measurements in research or practice, devoid of personal feelings or opinions.

Congruency

The state or quality of agreeing, being compatible or consistent.

Biased Sample

A nonrepresentative sample.

Representative Sample

A small group representing a larger group in terms of age, sex, ethnicity, socioeconomic status, orientation, for example.