A rectangular box is to have a square base and a volume of 40 ft3. If the material for the base costs $0.36/ft2, the material fo

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: The correct choice is (C) A = {1, 2, 3, 4, 5, 7, 8}.

Step-by-step explanation: We have eight identical slips of paper, each numbered from one to eight, which have been mixed inside a bag.

The sample space, S is as follows:

S = {1, 2, 3, 4, 5, 6, 7, 8}.

Subset A consists of the complement of the event where the number 6 is drawn.

Let 'B' denote the event of drawing the number 6.

Thus, B = {6}.

Since 'A' represents the complement of 'B', it will include all elements in the sample space 'S' that are not part of set 'B'.

Therefore,

A = B' = {1, 2, 3, 4, 5, 7, 8}

So, A = {1, 2, 3, 4, 5, 7, 8}.

Consequently, (C) is the correct choice.

Answer:

Step-by-step explanation:

It has been established that the count of drivers traveling between a specific origin and destination in a certain time frame follows a Poisson distribution with a mean μ = 20 (as indicated in the article "Dynamic Ride Sharing: Theory and Practice"†).

a)

b)

c)

d) 2 standard deviations = 2(20) = 40

Thus, this means the range for 2 standard deviations is

20-40, 20+40

which equates to (0,60)