Example 7. A media specialist plans to allocate advertising expenditure in three media where unit costs of a message are Rs. 1,500, Rs. 1,250 and Rs. 1,000 respectively. The total advertising budget available for the year is Rs. 50,000. The first medium is a monthly magazine and it is desired to advertise not more than once in one issue. At least five advertisements should appear in the second medium and the number of advertisements in the third medium should strictly lie between 6 and 10. The effective audience for unit advertisement in the three media is given below: Medium 1 2 3 Expected effective audience : 50,000 40,000 25,000 Formulate a linear programming problem to find the optimum allocation of advertisements in three media that would maximize the total effective audience

A firm is most likely to engage in horizontal FDI, as opposed to exporting, when trade costs are and the foreign market is O high; small O low; small O high; large O low; large

Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 400 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and 200 hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table: Production Time (Hours) Cutting and Packaging and Model Sewing Finishing Shipping Profit/Glove Regular model 1/8 1 1/2 $5 Catcher's model 1/2 1/2 3/2 $7 Assuming that the company is interested in maximizing the total profit contribution, answer the following: (a) What is the linear programming model for this problem? If required, round your answers to 3 decimal places or enter your answers as a fraction. If the constant is "1" it must be entered in the box. Do not round intermediate calculation. If an amount is zero, enter "0". Let R = number of units of regular…

1. A microwave oven company has two factories in the east coast and the midwest. It takes 25 hours (including packaging, shipping, etc.) to transport the microwave ovens of each order from the factory on the east coast to the central warehouse, while it takes 20 hours from the factory in the Midwest to the central warehouse. Shipping from the East Coast factory to the central warehouse costs $80 per order, while shipping from the Midwest factory to the central warehouse costs $40. Now there are 1,000 hours available for packaging, shipping, etc., and $3,000 can be used as transportation costs. (a) Try to write a linear inequality system describing this transportation system. (b) Try to draw a graph of the linear inequality system and list the corner points.