Linear Programming

Question 1

Set up Linear Programming

Cost Matrix

SupplyMarket 1
Market 2Market 3Market 4Market 5
A5163474365
B6072544953
C5558575571

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?

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