# BA 356 Central Texas College Quantitative Analysis & Expected Monetary Value Worksheet – Assignment Help

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Your assignment for this week is to do Problems 3.1, 3.2, 3.3 below. This assignment must be in Excel/QM and submitted through Assignment. Also provide a written response for each part of each question. (See rubric below.)

3.1) A manager needs to hire short-term employees to meet production demands. The manager would like to hire one of three possible short-term workers. Ten hours are demanded with 50% probability, 20 hours are demanded with 30% probability, and 30 hours are demanded with 20% probability. The table below represents the alternatives and possible states of nature.

 States of Nature (Worker hrs. demanded) Alternatives 10 hr. total pay 20 hr. total pay 30 hr. total pay Worker 1 \$1,000.00 \$1,800.00 \$2,400.00 Worker 2 \$900.00 \$1,800.00 \$2,500.00 Worker 3 \$950.00 \$1,750.00 \$2,500.00

a) Which alternative will minimize the expected monetary value?

b) What is the expected value of perfect information?

3.2) The following payoff table provides profits based on various possible decision alternatives and various levels of demand.

 States of Nature Demand Alternatives Low Medium High Alternative 1 80 120 140 Alternative 2 90 90 90 Alternative 3 50 70 150

The probability of a low demand is 0.4, while the probability of a medium and high demand is each 0.3.

(a) What decision would an optimist make?

(b) What decision would a pessimist make?

(c) What is the highest possible expected monetary value?

(d) Calculate the expected value of perfect information for this situation.

3.3) Orders for clothing from a particular manufacturer for this year’s Christmas shopping season must be placed in February. The cost per unit for a particular dress is \$20 while the anticipated selling price is \$50. Demand is projected to be 50, 60, or 70 units. There is a 40 percent chance that demand will be 50 units, a 50 percent chance that demand will be 60 units, and a 10 percent chance that demand will be 70 units. The company believes that any leftover goods will have to be scrapped. How many units should be ordered in February? (Calculations and formulas for all data in the Decision Table must be provided for credit. Answers not in Excel QM and without calculations and formulas for the data will not receive credit.)

Rubric for Problems:

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