Question 1
Set up Linear Programming
Cost Matrix
Supply | Market 1 | Market 2 | Market 3 | Market 4 | Market 5 |
A | 51 | 63 | 47 | 43 | 65 |
B | 60 | 72 | 54 | 49 | 53 |
C | 55 | 58 | 57 | 55 | 71 |
Supply:
A has 400 units
B has 500 units
C has 600 has
Demand:
Market 1 needs 100 units
Market 2 needs 200 units
Market 3 needs 300 units
Market 4 needs 400 units
market 5 needs 500 units
Question 2
Human Resource Consulting (HRC) surveyed a random sample of 66 Twin Cities construction companies to find information on the costs of their health care plans. One of the items being tracked is the annual deductible that employees must pay. The Minnesota Department of Labor reports that historically the mean deductible amount per employee is $499 with a standard deviation of $100.
1. Compute the standard error of the sample mean for HRC.
2. What is the chance HRC finds a sample mean between $477 and $527?
3. Calculate the likelihood that the sample mean is between $492 and $512.
4. What is the probability the sample mean is greater than $530?