Linear Programming : Find Optimal Solution

A businessman is considering opening a small specialized trucking firm.  To make the firm profitable, it is estimated that it must have a daily trucking capacity of at least 84,000 cu. ft.  Two types of trucks are appropriate for the specialized operation.  Their characteristics are as follows:
Truck      Cost          Capacity(Cu. ft)    Drivers needed
small      $18,000         2,400                     1
large      $45,000          6,000                    3

Note that the truck 2 requires 3 drivers for long haul trips.  There are 41 potential drivers available and there are facilities for at most 40 trucks.  The businessman's objective is to minimize the total cost outlay for trucks.

I have to solve the problem graphically and note there are alternate optimal solutions.  Which optimal solution:
a.  Uses only one type of truck?
b.  Utilizes the minimum total number of trucks?
c.  Uses the same number of small and large trucks?

By OTA: Changping Wang, MA

OTA Rating: 4.9/5

Your Price: $2.49 (original value ~$7.98)

What's included:

Plain text response
Attachment(s):
- minimum.doc

Math for decision making - 1. Decision variables a. tell how much or how many of something to produce, invest, purchase, hire, etc. b. represent the values of the constraints. c. measure the objective function. d. must exist for each constraint. 2. Which of the following is a valid objective function for a linear programming problem? a. Max 5xy b. Min 4x + 3y + (2/3)z c. Max 5x2 + 6...

There are three problems. First is on exponential smoothing, second one on linear regression and third one on linear programming - 1. The number of pizzas ordered on Friday evenings between 5:30 and 6:30 at a pizza delivery location for the last 10 weeks is shown below. Use exponential smoothing with smoothing constants of .2 and .8 to forecast a value for week 11 (i.e., prepare two forecasts usi...

Linear Programming : Minimizing Cost - The Sanders Garden Shop mixes two types of grass seed into a blend. Each type of grass has been rated (per pound) according to its shade tolerance, ability to stand up to traffic, and drought resistance, as shown in the table. Type A seed costs $1 and Type B seed costs $2. If the blend needs to score at least 300 points for shade tolerance, 400 points for tra...

To find the EVSI, - a. use the EVPI to calculate sample information probabilities. b. use indicator probabilities to calculate prior probabilities. c. use prior and sample information probabilities to calculate revised probabilities. d. use sample information to revise the sample information probabilities.

Project Scheduling and PERT/CPM - Hannaford (A solution can be generated by using PERT/CPM) Hannaford distributes a variety of food products that are sold through grocery store and supermarket outlets. The company receives orders directly from the individual outlets, with a typical order requesting the delivery of several cases of anywhere from 20 to 50 different products. Under the organizati...

Page generated in 0.1269 seconds

About Us · Contact Us · Samples · Solutions · Legal Terms and Conditions · Privacy Policy · Copyright Notification Policy