An agency is having problems with personal phone calls made during working hours.Each minute of a personal call costs the agency $0.50 in wasted wages.The agency hires operators to monitor calls in order to attain the optimal number of personal calls (minimize total cost of personal calls). \[\begin{array} { c c } & \text { Total minutes af }\\ \text { Numbe of } & \text { personal calls (per } \\ \text { Operators } & \text { hour) } \\ \hline 0 & 600 \\ 1 & 480 \\ 2 & 410 \\ 3 & 370 \\ 4 & 350 \\ \hline \end{array}\] Based on the above information,what is the most the agency would be willing to pay the first operator?

A) $480 B) $300 C) $240 D) $120 E) none of the above A) $480 B) $300 C) $240 D) $120 E) none of the above E

A government agency is having problems with personal telephone calls made during working hours.Because each minute of a personal call costs the agency $0.50 in wasted wages,it has decided to hire operators to monitor calls.The agency wants to hire the number of operators that will minimize the total cost of personal calls. $\begin{array}{c} \begin{array}{c} \text {Number of}\\ \text { operators}\\ 0\\ 1\\ 2\\ 3\\ 4\\ 5\\ \end{array} \begin{array}{c} \text {Minutes of personal}\\ \text { calls(per week) }\\ 3900\\ 2300\\ 1300\\ 600\\ 100\\ 0\\ \end{array} \end{array}$ Based on the above information,if operators receive $300 a week,how many operators should the agency hire?

A) 0 B) 1 C) 3 D) 5 A) 0 B) 1 C) 3 D) 5

A toy manufacturer is experiencing quality problems on its assembly line.Every defective toy that leaves the factory costs the firm $20.The firm has decided to hire quality inspectors to catch defective toys before they leave the factory. $\begin{array}{c} \begin{array}{c} \text {Number of}\\ \text { Inspectors}\\ 0\\ 1\\ 2\\ 3\\ 4\\ 5\\ 6\\ \end{array} \begin{array}{c} \text {Numbei of Defective}\\ \text {Toys (per doy)}\\ 40\\ 24\\ 16\\ 10\\ 6\\ 2\\ 0 \end{array} \end{array}$ Given the above information,if the cost of each defective toy rises to $50,while inspectors are paid $150 a day,how many inspectors should the firm hire?

A) 3 B) 4 C) 5 D) 6 A) 3 B) 4 C) 5 D) 6

A restaurant hires cooks and waiters.Cooks earn $10 an hour; waiters earn $5 an hour.The manager,who wants to maximize the number of meals served given a fixed payroll of $45 per hour,expects the following from cooks and waiters: $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $$\text { Total wumber of meals seived }$ $\begin{array}{c} \begin{array}{c} \text {Number of employees}\\ \hline 1\\ 2\\ 3\\ 4\\ 5 \end{array} \begin{array}{c} \text {Cook}\\ \hline200\\ 380\\ 540\\ 660\\ 740 \end{array} \begin{array}{c} \text {Waiter's}\\ \hline 120\\ 230\\ 310\\ 360\\ 390 \end{array} \end{array}$ Given the above information,the manager should hire

A) 2 cooks and 4 waiters. B) 2 cooks and 5 waiters. C) 3 cooks and 2 waiters. D) 3 cooks and 4 waiters. E) none of the above A) 2 cooks and 4 waiters. B) 2 cooks and 5 waiters. C) 3 cooks and 2 waiters. D) 3 cooks and 4 waiters. E) none of the above

A housecleaning company receives $25 for each house cleaned.The table below gives the relation between the number of workers and the number of houses that can be cleaned per week. \[\begin{array} { c c } \text { Momber of Wariters } & \text { Hauses Cieaved } \\ \hline 1 & 9 \\ 2 & 17 \\ 3 & 24 \\ 4 & 30 \\ 5 & 35 \end{array}\] Based on the above info,the marginal revenue from the fourth worker is

A) $6. B) $ 30. C) $150. D) $750 E) none of the above A) $6. B) $ 30. C) $150. D) $750 E) none of the above

A) determine the value of the objective function B) determine the constraint C) can only take on integer values D) cannot be continuous E) both c and d A) determine the value of the objective function B) determine the constraint C) can only take on integer values D) cannot be continuous E) both c and d