A gardener can purchase two types of fertilizer. A small bag of jumpstart fertilizer has 7 units of nitrogen, 3 units of phosphorus, and costs $15. A small bag of Growmorefertilizer has 9 units of nitrogen, 7 units of phosphorus, and costs $12. The farmer must make sure that his crop receives no more than 47 units of nitrogen and exactly79 units of phosphorus. How many bags of each type of fertilizer should the farmer purchase to minimize the cost?Step 1 of 3: Write the constraint on standard form using slack, surplus, and artificial variables as needed) for the number of units of nitrogen (let x, the number ofbags of jumpstart and x₂= the number of bags of Growmore). Uses, as the slack/surplus variable and a, as the artificial variable for this constraint (if they areneeded).AnswerTablesKeypadKeyboard Shortcuts

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Answered: A gardener can purchase two types of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Darius runs a store that sells fancy chocolates. Each batch ofBlack Hole Dark Truffles takes 12 ounces of cocoa and 6 ounces of cream. Each batch ofMint Cream Breezes requires 54 ounces of cocoa, and 2 ounces of cream. The store needs to immediately use 972 ounces of cocoa and 336 ounces of cream. If each batch ofBlack Hole Dark Truffles costs $15 in expenses, and each batch ofMint Cream Breezes costs $16, we want to know how many of each of the fancy chocolates Darius should have the store make to have the least expenses.Which of the following are the constraint(s) in this situation? A. 12c+6c≥97212c+6c≥972 B. B≥15B≥15 C. E=15B+16ME=15B+16M D. M≥16M≥16 E. 54c+2c≥33654c+2c≥336 F. 15B+16M≥3115B+16M≥31 G. 12B+54M≥97212B+54M≥972 H. 6B+2M≥336
A farmer has 12 hectares of land on which he grows corn, wheat, and soybeans. It costs $4500 per hectare to grow corn, $6000 to grow wheat, and $5000 to grow soybeans. Because of market demand the farmer will grow twice as many hectares of wheat as corn. He has allocated $6,375,000.00 for the cost of growing his crops. How many hectares of each crop should he plant?
A small candy shop is preparing for the holiday season. The owner must decide how many bags of deluxe mix and how many bags of standard mix of Peanut/Raisin Delite to put up. The deluxe mix has 2/3 pound raisins and 1/3 pound peanuts, and the standard mix has 1/2 pound raisins and 1/2 pound peanuts per bagThe shop has 90 pounds of raisins and 60 pounds of peanuts to work with Peanuts cost $.60 per pound and raisins cost $1.50 per pound. The deluxe mix will sell for $3.60 for a on pound bag, and the standard mix will sell for $3.15 for a one-pound bagThe owner estimates that no more than 170 bags of or type can be sold
The Fidget Spinner emporium sells two types of toys. A and B. The store owner pays $8 per toy A and $14 per toy B. When the emporium sells Toy A, it receives a profit of $2, while from Toy B it receives $3 profit per toy. Fewer than 2000 toys will be sold, and the emporium cannot spend more than $20,000 to buy the toys. How many units of each type of toy should the emporium buy?
The U-Drive Rent-A-Truck company plans to spend $8 million on 280 new vehicles. Each commercial van will cost $25,000, each small truck $30,000, and each large truck $40,000. Past experience shows that they need twice as many vans as small trucks. How many of each type of vehicle can they buy? They can buy vans, small trucks, and large trucks.
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An animal food must provide 60 units of vitamins and 67 calories per serving. One gram of soybean meal provides 2.5 units of vitamins and 5 calories. One gram of meat byproducts provides 4.5 units of vitamins and 3 calories. One gram of grain provides 5 units of vitamins and 10 calories. A gram of soybean meal costs 7¢, a gram of meat byproducts 9¢, and a gram of grain 10¢. (a) What mixture of these three ingredients will provide the required vitamins and calories at minimum cost? (b) What is the minimum cost? (a) Set up the initial tableau for the dual maximum problem. Fill in the missing entries. X2 S1 S2 S3 2.5 1 4.5 3 10 10

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