Question 1

Table 1

Complete the following:

1. Calculate the project completion time.

2. Indicate the critical path activities.

3. What is the probability of completing this project between 38 and 40 days?

4. What are the slack values for activities C and F? Interpret the meaning of their slack values?

Question 2

A registered nurse is trying to develop a diet plan for patients. The required nutritional elements are the total daily requirements of each nutritional element as indicated in Table 2:

Required nutritional element total and daily requirements

Table 2

The nurse has four basic types to use when planning the menus. The units of nutritional element per unit of food type are shown in Table 3 below. Note that the cost associated with a unit of ingredient also appears at the bottom of Table 3.

Required nutritional element and units of nutritional elements per unit of food type

Table 3

Moreover, due to dietary restrictions, the following aspects should also be considered when developing the diet plan:

1. The chicken food type should contribute at most 25% of the total caloric intake that will result from the diet plan.

2. The vegetable food type should provide at least 30% of the minimum daily requirements for vitamins.

Complete the following:

Provide a linear programming formulation for the above case.