Mazy’s Department Store has decided to stay open on a 24-hour basis. The store manager has divided the 24-hour day
into six 4-hour periods and determined the following minimum personnel requirements for each period:
Time Personnel Needed
Midnight–4:00 A. M.90
4:00–8:00 A. M. 215
8:00–Noon 250
Noon–4:00 P. M. 65
4:00–8:00 P. M. 300
8:00–Midnight 125
Personnel must report for work at the beginning of one of these times and work 8 consecutive hours. The store manager
wants to know the minimum number of employees to assign for each 4-hour segment to minimize the total number of
employees.
a. Formulate a linear programming model for this problem.
b. Solve the model by using the computer.

If the demand for a pair of shoes is given by 2p + 5q = 200 and the supply function for it is p − 2q = 10, compare the quantity demanded and the quantity supplied when the price is $90. quantity demanded pairs of shoes quantity supplied pairs of shoes will there be a surplus or shortfall at this price? there will be a surplus. there will be a shortfall.

Solomon chemical company makes three products, b7, k6, and x9, which are joint products from the same materials. in a standard batch of 320,000 pounds of raw materials, the company generates 70,000 pounds of b7, 150,000 pounds of k6, and 100,000 pounds of x9. a standard batch costs $3,840,000 to produce. the sales prices per pound are $10, $14, and $20 for b7, k6, and x9, respectively. (a) allocate the joint product cost among the three final products using weight as the allocation base. (b) allocate the joint product cost among the three final products using market value as the allocation base. (c) allocate the joint product cost among the three final products using weight as the allocation base.

Trade will take place: a. if the maximum that a consumer is willing and able to pay is less than the minimum price the producer is willing and able to accept for a good. b. if the maximum that a consumer is willing and able to pay is greater than the minimum price the producer is willing and able to accept for a good. c. only if the maximum that a consumer is willing and able to pay is equal to the minimum price the producer is willing and able to accept for a good. d. none of the above.