You are given the following data for a linear programming problem where the objective is to minimize the cost of conducting two nonnegative activities so as to achieve three benefits that do not fall below their minimum levels.

minimum levels. (20 points)

Resource Resource Usage per Amount of Resource
Unit Produced Available
Product A Product B
x 3 1 40
y 2 5 30
z 10 7 75
Cost per unit $80 $120

(a) Formulate a linear programming model for this problem.
(b) Use the graphical method to solve this model.
(c) Use the spreadsheet to check the following solutions:
(x, y) = (10, 15), (5, 8), (11, 30), (14, 40), (8, 20).
Which of these solutions are feasible? Which of these feasible solutions has the best value of the objective function?

Upscale hotels in the united states recently cut their prices by 20 percent in an effort to bolster dwindling occupancy rates among business travelers. a survey performed by a major research organization indicated that businesses are wary of current economic conditions and are now resorting to electronic media, such as the internet and the telephone, to transact business. assume a company's budget permits it to spend $5,000 per month on either business travel or electronic media to transact business. graphically illustrate how a 20 percent decline in the price of business travel would impact this company's budget set if the price of business travel was initially $1,000 per trip and the price of electronic media was $500 per hour. suppose that, after the price of business travel drops, the company issues a report indicating that its marginal rate of substitution between electronic media and business travel is 1. is the company allocating resources efficiently? explain.

The huntington boys and girls club is conducting a fundraiser by selling chili dinners to go. the price is $7 for an adult meal and $4 for a child’s meal. write a program that accepts the number of adult meals ordered and then children's meals ordered. display the total money collected for adult meals, children’s meals, and all meals.

You have collected the company performance data below for acme shoes and brand x