Quantitative Method
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The production manager for the Whoppy soft drink company is considering the production of 2 kinds of soft drinks: regular and diet. The company operates one "8 hour" shift per day. Therefore, the production time is 480 minutes per day. During the production process, one of the main ingredients, syrup is limited to maximum production capacity of 675 gallons per day. Production of a regular case requires 2 minutes and 5 gallons of syrup, while production of a diet case needs 4 minutes and 3 gallons of syrup. Profits for regular soft drink are $3.00 per case and profits for diet soft drink are $2.00 per case. Which of the following is not a feasible production combination?
a. 90 R and 75 D
b. 135 R and 0 D
c. 0 R and 120 D
d. 75 R and 90 D
e. 50 R and 50 D
Assume that x2, x7 and x8 are the dollars invested in three different common stocks from New York stock exchange. In order to diversify the investments, the investing company requires that no more than 60% of the dollars invested can be in "stock two". The constraint for this requirement can be written as:
a. x2 .60
b. x2 .60 (x2 + x7 + x8)
c. .4x2 - .6x7 - .6x8 0
d. .4x2 - .6x7 - .6x8 0
e. -.4x2 + .6x7 + .6x8 0
The owner of Chips etc. produces 2 kinds of chips: Lime (L) and Vinegar (V). He has a limited amount of the 3 ingredients used to produce these chips available for his next production run: 4800 ounces of salt, 9600 ounces of flour, and 2000 ounces of herbs. A bag of Lime chips requires 2 ounces of salt, 6 ounces of flour, and 1 ounce of herbs to produce; while a bag of Vinegar chips requires 3 ounces of salt, 8 ounces of flour, and 2 ounces of salt. Profits for a bag of Lime chips are $0.40, and for a bag of Vinegar chips $0.50. For the production combination of 800 bags of Lime and 600 bags of Vinegar, which of the three resources is (are) not completely used?
a. flour only
b. salt only
c. herbs only
d. salt and flour
e. salt and herbs
If Xab = the production of product a in period b, then to indicate that the limit on production of the company's "3" products in period 2 is 400,
a. X32 400
b. X21 + X22 + X23 400
c. X12 + X22 + X32 400
d. X12 + X22 + X32 400
e. X23 400
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Quantitative Method
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