Linear Programming Problem

Tom and Jerry, Inc., supplies its ice cream parlors with three flavors of ice cream: chocolate, vanilla, and banana. Due to extremely hot weather and a high demand for its products, the company has run short of its supply of ingredients: milk, sugar, and cream. Hence, they will not be able to fill all the orders received from their retail outlets, the ice cream parlors. Due to these circumstances, the company has decided to choose the amount of each flavor to produce that will maximize total profit, given the constraints on supply of the basic ingredients. The chocolate, vanilla, and banana flavors generate, respectively, $1.00, $0.90, and $0.95 of profit per gallon sold. The company ... click for more

Linear Programming Problem

The Widgit Company has agreed to supply its best customer with three widgits during each of the next 3 weeks, even though producing them will require some overtime work. The relevant production data are as follows: Week Maximum Production, Regular Time Maximum Production, Overtime Production Cost per Unit, Regular Time 1 2 2 $300 2 3 2 $500 3 1 2 $400 The cost per unit produced with overtime for each week is $100 more than for regular time. The cost of storage is $50 per unit for each week it is stored. There is already an inventory of two widgets on hand currently, but the company does not want to retain any widgets in inventory after the 3 weeks. Management wants to know how... click for more

Dynamic Programming Problem

A company is planning its advertising strategy for next year for its three major products. Since the three products are quite different, each advertising effort will focus on a single product. In units of millions of dollars, a total of 6 is available for advertising next year, where the advertising expenditure for each product must be an integer greater than or equal to 1. The vice-president for marketing has established the objective: Determine how much to spend on each product in order to maximize total sales. The following table gives the estimated increase in sales (in appropriate units) for the different advertising expenditures. Advertising Expenditure Product 1 2 ... click for more

Binary Integer Programming

Consider the following activity-on-arc project network, where the 12 arcs (arrows) represent the 12 activities (tasks) that must be performed to complete the project and the network displays the order in which the activities need to be performed. The number next to each arc (arrow) is the time required for the corresponding activity. Consider the problem of finding the longest path (the largest total time) through this network from start (node 1) to finish (node 9), since the longest path is the critical path. Formulate a BIP model for this problem. See attached file for full problem description.

Operations Statistics and Research

Solve this problem with one both a one-way solverTable and one two-way solverTable. Failsafe Electronics Corporation manufactures four products. Each of the products must pass through the following departments: wiring, drilling, assembly, and inspection. Time requirements in each department (in hours) for each unit produced and unit profit are summarized in the table below: - Find the monthly production plan that maximizes profit. Non-integer answers are acceptable for planning purposes. - Create at least one one-way SolverTable and one two-way SolverTable. You will need to analyze the solution to determine which variables to use in these tables. There are not right or wrong variables t... click for more