Formulate but do not solve the following exercise as a linear programming problem. As part of a campaign to promote its annual clearance sale, the Excelsior Company decided to buy television advertising time on Station KAOS. Excelsior's advertising budget is $102,000. Morning time costs $3000/minute, afternoon time costs $1400/minute, and evening (prime) time costs $12,500/minute. Because of previous commitments, KAOS cannot offer Excelsior more than 6 min of prime time or more than a total of 30 min of advertising time over the 2 weeks in which the commercials are to be run. KAOS estimates that morning commercials are seen by 190,000 people, afternoon commercials are seen by 110,000 people, and evening commercials are seen by 580,000 people. How much morning x, afternoon y, and evening z advertising time (in min) should Excelsior buy to maximize exposure, P, of its commercials?

Solve the following linear programming problem.   You are taking two dietary supplements daily: Supplement A and Supplement B.   An ounce of supplement A contains 9 units of calcium, 8 units of vitamin D, and 5 units of sodium.   An ounce of supplement B contains 2 units of calcium, 4 units of vitamin D, and 3 units of sodium.   Your goal is to get at least 90 units of calcium and at least 120 units of vitamin D from the supplements daily, while at the same time reducing the amount of sodium that you will get.    How many ounces of each supplement should you take daily to reach your goals?   Ounces of Supplement A =  Blank 1. Fill in the blank, read surrounding text. Ounces of Supplement B =  Blank 2. Fill in the blank, read surrounding text.   How many units of sodium will you get daily under these circumstances?   Units of Sodium =  Blank 3. Fill in the blank, read surrounding text.

Formulate but do not solve the following exercise as a linear programming problem. A financier plans to invest up to $400,000 in two projects. Project A yields a return of 10% on the investment of x dollars, whereas Project B yields a return of 13% on the investment of y dollars. Because the investment in Project B is riskier than the investment in Project A, the financier has decided that the investment in Project B should not exceed 40% of the total investment. How much should she invest in each project to maximize the return on her investment P in dollars?   MaximizeP=     subject to the constraints ?   amount available for investment?     allocation of funds?

Formulate but do not solve the following exercise as a linear programming problem.. TMA manufactures 37-in. high-definition LCD televisions in two separate locations: Location I and Location II. The output at Location I is at most 5500 televisions/month, whereas the output at Location II is at most 4700 televisions/month. TMA is the main supplier of televisions to Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for 2600 and 3700 televisions to be shipped to two of its factories located in City A and City B, respectively. The shipping costs (in dollars) per television from the two TMA plants to the two Pulsar factories are as follows. From TMA Location I Location II Minimize TMA will ship x televisions from Location I to City A and y televisions from Location I to City B. Find a shipping schedule that meets the requirements of both companies while keeping costs, C (in dollars), to a minimum.…

Use Excel to solve the linear programming problem.At one of its factories, a manufacturer of televisions makes one or more of four models of HD units (without cases): a 20-in. LCD, a 42-in. LCD, a 42-in. plasma, and a 50-in. plasma. The assembly and testing time requirements for each model are shown in the table, together with the maximum amounts of time available per week for assembly and testing. In addition to these constraints, the supplier of cases indicated that it would supply no more than 290 cases per week and that of these, no more than 40 could be for the 20-in. LCD model.Use the profit for each television shown in the table to find the number of completed models of each type that should be produced to obtain the maximum profit for the week. Find the maximum profit. 20-in. LCD        sets 42-in. LCD        sets 42-in. plasma        sets 50-in. plasma        sets profit     $     20-in.LCD 42-in.LCD 42-in.Plasma 50-in.Plasma TotalAvailable Assembly  time…

Formulate but do not solve the following exercise as a linear programming problem.A company manufactures x units of Product A and y units of Product B, on two machines, I and II. It has been determined that the company will realize a profit of $3 on each unit of Product A and $5 on each unit of Product B. To manufacture a unit of Product A requires 5 min on Machine I and 5 min on Machine II. To manufacture a unit of Product B requires 9 min on Machine I and 5 min on Machine II. There are 269 min available on Machine I and 205 min available on Machine II in each work shift. How many units of a product should be produced in each shift to maximize the company's profit P in dollars? Maximize      P  =             subject to the constraints Machine I             Machine II                     x ≥ 0         y ≥ 0

Formulate but do not solve the following exercise as a linear programming problem.TMA manufactures 37-in. high-definition LCD televisions in two separate locations: Location I and Location II. The output at Location I is at most 6500 televisions/month, whereas the output at Location II is at most 5300 televisions/month. TMA is the main supplier of televisions to Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for 3000 and 3600 televisions to be shipped to two of its factories located in City A and City B, respectively. The shipping costs (in dollars) per television from the two TMA plants to the two Pulsar factories are as follows.   To Pulsar Factories From TMA     City A     City B Location I $6 $4    Location II $8 $7    TMA will ship x televisions from Location I to City A and y televisions from Location I to City B. Find a shipping schedule that meets the requirements of both…

which options are correct ?

consider the production scheduling problem of the perfume polly named after a famous celebrity. the manufacturer of the perfume must plan production for the first four months of the year and anticipates a demand of 4000, 5000, 6000, and 4500 gallons in january, february, march, and april, respectively. at the beginning of the year the company has an inventory of 2000 gallons. the company is planning on issuing a new and improved perfume called pollygone in may, so that all polly produced must be sold by the end of april. assume that the production cost for january and february is $5 per gallon and this will rise to $5.5 per gallon in march and april. the company can hold any amount produced in a certain month over to the next month at an inventory cost of $1 per unit. formulate a linear optimization model that will minimize the costs incurred in meeting the demand for polly in the period january through april. assume for simplicity that any amount produced in a given month may be used…