Riverside Oil Company in eastern Kentucky produces regular and supreme gasoline. Each barrel of regular sells for $21 and must have an octane rating of at least 90. Each barrel of supreme sells for $25 and must have an octane rating of at least 97. Each of these types of gasoline are manufactured by mixing different quantities of the following three inputs:

Input Cost per Barrel Octane Rating Barrels Available in (1000s)
1 $17.25 100 150
2 $15.75 87 350
3 $17.75 110 300
Riverside has orders for 300,000 barrels of regular and 450,000 barrels of supreme. How should the company allocate the available inputs to the production of regular and supreme gasoline to maximize profits?

(a) Formulate and LP model for this problem.
(b) What is the optimal solution?

Use the information below to answer the following question. the boxwood company sells blankets for $60 each. the following was taken from the inventory records during may. the company had no beginning inventory on may 1. date blankets units cost may 3 purchase 5 $20 10 sale 3 17 purchase 10 $24 20 sale 6 23 sale 3 30 purchase 10 $30 assuming that the company uses the perpetual inventory system, determine the gross profit for the month of may using the lifo cost method.

Suppose there are three types of consumers who attend concerts at your university’s performing arts center: students, staff, and faculty. each of these groups has a different willingness to pay for tickets; within each group, willingness to pay is identical. there is a fixed cost of $1,000 to put on a concert, but there are essentially no variable costs. for each concert: i. there are 140 students willing to pay $20. (ii) there are 200 staff members willing to pay $35. (iii) there are 100 faculty members willing to pay $50. a) if the performing arts center can charge only one price, what price should it charge? what are profits at this price? b) if the performing arts center can price discriminate and charge two prices, one for students and another for faculty/staff, what are its profits? c) if the performing arts center can perfectly price discriminate and charge students, staff, and faculty three separate prices, what are its profits?

You work as the sales manager for a company that sells office supplies to businesses of all sizes. because the profit margins are razor-thin, you need to ensure that you are getting the very best prices on paper, pencils, pens, post-it notes, and other office supplies from the manufacturers. when reviewing the quarterly profit statement, you realize that your costs are higher than they should be, and you trace the higher costs back to an employee who has been lax about getting competitive bids to ensure the lowest prices. when you conduct your research to determine the reason for the higher costs, and take action to bring those costs back down, in which of the key management processes are you taking part?