Question 1
The objective of a linear programming problem is to maximize 1.50A + 1.50B, subject to 3A + 2B ≤ 600, 2A + 4B ≤ 600, and 1A + 3B ≤ 420.
a. Plot the constraints on the grid below
b. Identify the feasible region and its corner points. Show your work.
c. What is the optimal product mix for this problem?
Question 2
The property manager of a city government issues chairs, desks, and other office furniture to city buildings from a centralized distribution centre. Like most government agencies, it operates to minimize its costs of operations. In this distribution centre, there are two types of standard office chairs, Model A and Model B. Model A is considerably heavier than Model B, and costs $20 per chair to transport to any city building; each model B costs $14 to transport. The distribution centre has on hand 400 chairs—200 each of A and B.
The requirements for shipments to each of the city's buildings are as follows:
Building 1 needs at least 100 of A
Building 2 needs at least 150 of B.
Building 3 needs at least 100 chairs, but they can be of either type, mixed.
Building 4 needs 40 chairs, but at least as many B as A.
Write out the objective function and the constraints for this problem. (Hint: there are eight variables—chairs for building 1 cannot be used to satisfy the demands for another building).
Humpback Whale Skeleton on Display at The Museum of Osteology, Oklahoma City, Oklahoma
A typical reception area in a medical office.
Regular staff meetings increase the efficiency of the medical office staff.
Working and Living and Playing in the City Dump of Phnom Penh, Cambodia
Working and Living and Playing in the City Dump of Phnom Penh, Cambodia
Members of the British Punitive Expedition to Benin City