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?

The beach dude (bd) employs a legion of current and former surfers as salespeople who push its surfing-oriented products to various customers (usually retail outlets). this case describes bd's sales and collection process. each bd salesperson works with a specific group of customers throughout the year. in fact, they often surf with their customers to try out the latest surf gear. the bd salespeople act laid-back, but they work hard for their sales. each sale often involves hours of surfing with their customers while the customers sample all the latest surf wear. because bd makes the best surfing products, the customers look forward to the visits from the bd salespeople. and they often buy a lot of gear. each sale is identified by a unique invoice number and usually involves many different products. customers pay for each sale in full within 30 days, but they can combine payments for multiple sales. bd manages its clothing inventory by item (e.g., xl bd surfer logo t-shirts), identified by product number, but it also classifies the items by clothing line (the lines are differentiated by price points as well as the intended use of the clothing, e.g., surfing products, casual wear, . draw a uml class diagram that describes the beach dudes sales and collection process.b. using microsoft access, implement a relational database from your uml class diagram. identify at least three fields per table.c. describe how you would use the relational database to determine the beach dude’s accounts receivable.

Uestion 7 you hold a portfolio consisting of a $5,000 investment in each of 20 different stocks. the portfolio beta is equal to 1.12. you have decided to sell a coal mining stock (b = 1.00) at $5,000 net and use the proceeds to buy a like amount of a mineral rights company stock (b = 2.00). what is the new beta of the portfolio?

Seattle bank’s start-up division establishes new branch banks. each branch opens with three tellers. total teller cost per branch is $96,000 per year. the three tellers combined can process up to 90,000 customer transactions per year. if a branch does not attain a volume of at least 60,000 transactions during its first year of operations, it is closed. if the demand for services exceeds 90,000 transactions, an additional teller is hired and the branch is transferred from the start-up division to regular operations. required what is the relevant range of activity for new branch banks