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A Company That Produces Video Games Estimates That the Profit PP

question 47

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A company that produces video games estimates that the profit PP (in dollars) for selling a new game is given by P=82x3+7250x2450,000,P = - 82 x ^ { 3 } + 7250 x ^ { 2 } - 450,000, 0x800 \leq x \leq 80 where xx is the advertising expense (in tens of thousands of dollars) . Using this model, how much should the company spend on advertising to obtain a profit of $6,100,000? Round to the nearest dollar.


Definitions:

Stay-at-home Fathers

Men who choose to remain at home to care for their children and manage household duties instead of working for pay outside the home.

Workplace

Refers to any location, environment, or setting where individuals engage in work-related activities or occupations.

Equilibrium Wage

is the wage rate at which the supply of labor equals the demand for labor in the labor market.

Demand for Labor

The total amount of labor that employers want to hire at various wage rates, during a certain period.

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