E A famine relief effort is being mounted and there are three types of food bundles that can be flown out duringeach delivery. Bundle 1 has 4 kg. of flour, 4 kg. of sugar and 12 litres of water. Bundle 2 has 12 kg. of flour, 4 kg.of sugar and 4 litres of water and Bundle 3 has 8 kg. of flour, 8 kg. of sugar and 8 litres of water. The reliefagency has 5200 kg. of flour, 3800 kg. of sugar and 6000 litres of water for each shipment. Bundle 1 can providefor 10 people between deliveries, Bundle 2 for 8 people and Bundle 3 for 11 people. How many bundles of eachtype should the relief agency send on each flight in order to maximize the number of people being fed.Do this problem by setting up a linear programming problem and determining the vertices of the feasibility set.Enter the number of bundles of types 1. 2, and 3 (in that order) into the answer box below, separated withcommias.

This question is related to linear programming problem. Solve in step 2.

Answered: E A famine relief effort is being…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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A regional photo lab produces two different photo packages. The number of photos of each type in each package and how many of each type is available is summarized in the following table. Wallet Size 5 x 7 8 x 10 Standard Package 11 1 Plus Package 14 7 Total Available 1694 1470 678 The corporate office requires the lab sell at least 26 standard packages and 8 plus packages a week. If the cost of producing one standard package is $14 and one plus package is $19, how many of each type of package must the photo lab sell each week in order to minimize their costs, but still meet corporate requirements? What is the minimum cost? The minimum cost is $ when standard packages and plus packages are sold.
A store has three types of laptops (A, B, C). There are twice as many type A than type B. There are 20 fewer type A than type C. There are 320 laptops in total. How many laptops are there of each type?
A plant food is made from three chemicals, labeled I, II, and III. In each batch of the plant food, the amounts of chemicals II and III must be in the ratio of 5to 3. The amount of nitrogen must be at least 39 kg. The percent of nitrogen in the three chemicals is 8%,4%,and 5%,respectively. If the three chemicals cost $1.02 $0.86 and $0.66 per kilogram, respectively, how much of each should be used to minimize the cost of producing at least 600 kg of the plant food?
Laura is planning to buy three 5-lb bags of sugar, six 5-lb bags of flour, three 1-gal cartons of milk, and six 1-dozen cartons of large eggs. The prices of these items in three neighborhood supermarkets are as follows. A = Sugar (5-lb bag) $3.15 $2.99 $3.74 B = Flour (5-lb bag) $3.79 $2.89 $2.98 Supermarket I Supermarket II Supermarket III (a) Write a 3 x 4 matrix A to represent the prices (in dollars) of the items in the three supermarkets. Milk (1-gal carton) $2.99 $2.79 $2.89 C = Eggs (1-dozen carton) $3.49 $3.29 $2.99 (b) Write a 4 x 1 matrix B to represent the quantities of sugar, flour, milk, and eggs that Laura plans to purchase in the three supermarkets. (c) Use matrix multiplication to find a matrix C that represents Laura's total outlay (in dollars) at each supermarket.
38) SET UP ONLY: A business has 3 machines that manufacture containers. Together they can make 100 containers per day, whereas the two fastest machines can make 80 containers per day. The fastest machine makes 34 more containers per day than the slowest machine. How many containers can each machine make per day?
Hello Dolly, Inc. crafts three styles of dolls: Lexi, Maysy, and Dizzy. Each doll requires sewing time, painting time, and supplies. Sewing machines are available for only 118 hours, only 2805 hours are available for painting, and 390.5 lbs. of supplies are available. Each Lexi doll requires 0.2 hours of sewing, 9 hours of painting, and 0.7 lbs. of supplies. Each Maysy doll requires 0.4 hours of sewing, 10 hours of painting, and uses 0.9 pounds of supplies. Each Dizzy doll requires 0.5 hours of sewing, 7 hours of painting, and 2 pounds of supplies. If the company earns a profit of $145 per Lexi doll, $155 per Maysy doll, and $150 per Dizzy doll, how many of each doll should the company produce to maximize profit? How much profit will result? (Use for the number of Lexi dolls, y for the number of Maysy dolls, and z for the number of Dizzy dolls.) Maximize P = subject to ≤118 ≤2805 <390.5 Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes…
An online retailer requires three different size containers to package its products for shipment. The costs of these containers A, B, and C, and their capacities are shown as follows: Container A B C Cost ($ each) 4 6 7 Capacity (cu in) 200 400 600 If the retailer orders 2500 containers with a total capacity of 1,100,000 cu in at a cost of $15,000, how many of each are in the order?
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1. A factory receives by rail 1,000,000 pounds of steel per day. The railcars are 75 feet long and have a have a capacity of 80,000 pounds. If the factory can complete 3 car changes along the siding each day, what is the length of rail siding needed? - 312.5 feet - 352.5 feet - 332.5 feet - 372.5 feet - 412.5 feet - 392.5 feet 2. A product is stored in boxes that are 4 feet long x 3 feet wide x 6 feet tall. The warehouse ceiling is 20 feet high so the product can be stacked 3 boxes high. In the square footage formula, what is the (unit space occupied/stacking factor) term? - 24 square feet - 12 square feet - 16 square feet - 4 square feet - 8 square feet - 20 square feet 3. A truck dock receives 1500 pallets per day. Each truck delivers 22 pallets and trucks are unloaded in 2 hours. If the receiving dock works 16 hours per day, how many truck dock doors are needed? - 5 doors - 7 doors - 11 doors - 9 doors - 15 doors - 13 doors

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