Using the graph of the feasible r 73. (100, 40) 74. (100, 50) 75. (300, 150) 76. (410, 40)
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- The Metropolitan Bus Company (MBC) purchases diesel fuel from American Petroleum Supply. In addition to the fuel cost, American Petroleum Supply charges MBC $200 per order to cover the expenses of delivering and transferring the fuel to MBC's storage tanks. The lead time for a new shipment from American Petroleum is 10 days; the cost of holding a gallon of fuel in the storage tanks is $0.01 per month, or $0.12 per year; and annual fuel usage is 120,000 gallons. MBC buses operate 300 days a year. What is the optimal order quantity for MBC? Q* = fill in the blank 1 How frequently should MBC order to replenish the gasoline supply? fill in the blank 2 orders per year The MBC storage tanks have a capacity of 15,000 gallons. Should MBC consider expending the capacity of its storage tanks? Metropolitan Bus Company __needs to expand or does not need to expand___ the capacity of its storage tanks. What is the reorder point? r = fill in the blank 4 gallonsCan I have help with a please what’s the optimal value and axis of symmetry?A political candidate wants to use a combination of radio and TV advertisements in her campaign. Research has shown that each 1-minute spot on TV reaches 0.9 million people and that each 1-minute spot on radio reaches 0.8 million. The candidate believes she must reach 72 million people, and she must buy at least 65 minutes of advertisements. How many minutes of each medium should be used if TV costs $800 per minute, radio costs $200 per minute, and the candidate wishes to minimize costs? TV min radio min
- The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 56 students, requires 7 chaperones, and costs $1,200 to rent. Each van can transport 7 students, requires 1 chaperone, and costs $110 to rent. Since there are 616 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 616 students. Since only 84 parents rent in order to minimize the transportation costs? What are the minimal transportation costs? The officers should rent—— buses and—— vans to minimize the transportation costsA pharmaceutical firm wishes to allocate Php50,000 towards advertising in newspapers and magazines. The intention of the firm is to maximize the exposure of its advertisements. Each page of the leading newspapers costs Php500 and each page of the magazine costs Php1,000. It is guaranteed that each page of the magazine will reach an audience of 250,000, while 50,000 persons will read each page of the newspaper advertisement. Furthermore, it is specified that at least one page of the magazine and newspaper will be allocated for the firm's advertisement. Find the number of pages of magazine advertisement that will maximize exposure and still remain within the Php50,000 budget. Solve using graphical method. Newspaper Magazine Limitations 1 1 1. 500 1000 50,000 50,000 250,000A candidate wishes to use a combination of radio and television advertisements in her campaign. Research has shown that each 1-minute spot on television reaches 0.09 million people and that each 1-minute spot on radio reaches 0.006 million. The candidate feels she must reach at least 2.16 million people, and she must buy a total of at least 80 minutes of advertisements. How many minutes of each medium should be used to minimize costs if television costs $600/minute and radio costs $100/minute? radio min television min
- The Metropolitan Bus Company (MBC) purchases diesel fuel from American Petroleum Supply. In addition to the fuel cost, American Petroleum Supply charges MBC $300 per order to cover the expenses of delivering and transferring the fuel to MBC’s storage tanks. The lead time for a new shipment from American Petroleum is 7 days; the cost of holding a gallon of fuel in the storage tanks is $0.04 per month or $0.48 per year. The annual fuel usage is 250,000 gallons. MBC buses operate 300 days a year.What is the optimal order quantity for MBC?(Is it 12,500 gallons?)How frequently should MBC place an order to replenish the gasoline supply?(Is it 25 days?)What is the reorder point? (5,000 gallons?)The supervisor at the Precision Machine Shop wants to determine the staffing policy that minimizes total operating costs. The average arrival rate at the tool crib, where tools are dispensed to the workers, is eight machinists per hour. Each machinist’s pay is $25 per hour. The supervisor can staff the crib either with a junior attendant who is paid $13 per hour and can process 12 arrivals per hour or with a senior attendant who is paid $16 per hour and can process 16 arrivals per hour. Which attendant should be selected, and what would be the total estimated hourly cost?A candidate wishes to use a combination of radio and television advertisement in his campaign. Research has shown that each one-minute spot on television reaches 0.09 million people and each one minute spot on radio reaches 0.006 million people. The candidate feels that he must reach at least 2.16 million people and he must buy a total of at least 80 minutes of advertisement .How many minutes of each medium should be used to minimize the cost , if television cost (in dollars) $ 500 per minute and radio cost (in dollars) #$ 100 per minute. Formulate linear programming model for the above problem. Solve the model graphically.
- Farmer Brown wants to upgrade the fencing around his rectanger pasture. He would like to put a stone fence along one(1) side and a wooden fence along the other three (3) sides. The cost of the stone fence is $100 per linear foot, and the cost of the wooden fence is $20 per linear foot. a. If the pasture must have an area of 7,500 square feet, what are the dimensions of the field which will minimize the cost of the fencing? What will the cost of the fencing be at the dimensions that you found?A certain company′s Mixed Cereal for Baby contains, in each serving, 80 calories and 10 grams of carbohydrates. The same company's Mango Tropical Fruit Dessert contains, in each serving, 40 calories and 7 grams of carbohydrates. You want to provide your child with at least 240 calories and at least 34 grams of carbohydrates. Draw the feasible region that shows the number of servings of cereal and number of servings of dessert that you can give your child. (Place the Mixed Cereal for Baby on the x-axis and the Mango Tropical Fruit Dessert on the y-axis.) Find the corner points of the region. (Order your answers from smallest to largest x, then from smallest to largest y. If an answer does not exist, enter DNE.) (x, y) = (x, y) = (x, y) =Jenny Company produces two types of pants: long pants and short pants. The cost of making a pair of short pants and a pair of long pants are RM 75 and RM 95 respectively.In one week, the company must produce at least 150 pants of each type. The minimum weekly production is 500 pants. The short pants is sold for RM 120 each and the long pants for RM 150 each. Using the graphical method, find:a) The number of short pants and long pants to be made in a week in order to minimize the total production cost.b) The profit made at the minimum weekly production cost.
