Solve the problem.Find the number of units that must be produced and sold in order to yield the maximum profit, given the following equations for revenue and cost:R(x) = 50x - 0.5x2C(x) = 10x + 3.

A. 43 units
B. 40 units
C. 60 units
D. 41 units


Answer: B

Mathematics

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Solve the problem.(i) In general terms, how does the surface-area-to-volume ratio of a rat compare to that of a gorilla?(ii) Which animal must maintain a higher rate of metabolism to replace the heat lost through the skin?

A. (i) The surface-area-to-volume ratio of a rat is higher than the surface-area-to-volume ratio of a gorilla. (ii) The rat must maintain a higher rate of metabolism. B. (i) The surface-area-to-volume ratio of a rat is equal to the surface-area-to-volume ratio of a gorilla. (ii) Both animals must maintain the same rate of metabolism. C. (i) Cannot compare the two because one type of creature is a mammal and the other is not. (ii) Cannot compare the two because one type of creature is a mammal and the other is not. D. (i) The surface-area-to-volume ratio of a rat is lower than the surface-area-to-volume ratio of a gorilla. (ii) The gorilla must maintain a higher rate of metabolism.

Mathematics

Express the vector as a product of its length and direction.2j + k

A.
B.
C.
D. (j + k)

Mathematics

Chapter one introduces two different models that can help companies select and implement the most effective strategy. Which of these models suggests that managers should determine what the firm's resources allow it to do better than the competition?

A. The industrial organization (I/O) model of the firm B. The competitive dynamics (CD) model C. The resource-based view of the firm (RBV) model D. The five forces model of competition (5F)

Mathematics

Provide an appropriate response.Consider a linear program with an objective function for profit. Thinking of isoprofit lines, if the objective function is evaluated at the corner points of polygon  and   and  is it safe to assume that p(D) is not the corner point at which the profit is maximized?

A. Yes B. No

Mathematics