a) q(p) = -15p + 300; b) R(p) = -15p² + 300p; c) C(p) = -30p + 1600; d) 1) P(p) = -15p² + 330p - 1600; d) 2) p = $11. To develop the demand equation, we plot the values of the cover charge against the number of guests per night for the given coordinates (9,165) and (10,150). The slope provides the relationship needed to formulate the linear equation relating guests and cover charge. The revenue function follows from multiplying price by guests, while the cost function encompasses overhead and beverage expenses associated with operational costs. The profitability equation emerges from subtracting costs from revenues, allowing us to determine the optimal entrance fee for maximum profit.
Answer:
________{0.50 if x < 3
________{1.00 if 3 ≤ x < 6
f(x) = ____{1.50 if 6 ≤ x < 9
________{2.00 if 9 ≤ x < 12
Step-by-step explanation:
Based on the details provided:
Employees with less than 3 years receive an increase of $0.50 hourly
Employees with at least 3 years but under 6 years receive $1.00 increase hourly
Employees with a minimum of 6 years and less than 9 get $1.50 increase hourly
Employees with at least 9 years but below 12 years receive $2.00 increase hourly
This information can be expressed as a piecewise function:
________{0.50 if x < 3
________{1.00 if 3 ≤ x < 6
f(x) = ____{1.50 if 6 ≤ x < 9
________{2.00 if 9 ≤ x < 12
The conditions are outlined in the piecewise function above with x indicating the number of years employed.
The answer is found by dividing the total pages by the total time in minutes.
Calculating 7.5 divided by 9 equals approximately 0.8333, so Monica reads around 0.83 pages each minute on average.
