A farmer owns 100 hectares of land to grow crops A, B, and C. The costs to grow crops A, B, and C per hectare are $ 40, $ 60, and $ 80, respectively. The farmer has 12,000 dollars in planting costs. The energy needed to cultivate plants A, B, and C per hectare is 10 hours of work, 15 hours of work, and 20 hours of work, respectively. The farmer has 4,000 hours available. The farmer wants to use all the land, all the budget for planting costs, as well as all available labor. a. Model a system of linear equations for the problem using a matrix representation! b. Solve the system of linear equations by eliminating Gauss or Gauss-Jordan to determine the area of land to plant each crop.!

Q: A ferry carries cars, drivers, and passengers across a large lake. The total charge includes $18 for…

A:

Q: Jackson Farms has allotted a certain amount of land for cultivating soybeans, corn, and wheat.…

A: (a) Let x be the  area of land in which soybeans are  cultivated, y the  area of land in which corns…

Q: A farmer has 1,150 acres of land on which he grows corn, wheat, and soybeans. It costs $45 per acre…

A:

Q: 3. Aisha is making greeting cards, which she will sell by the box at an arts fair. She paid $20 for…

A:

Q: suppose it costs $52,000 per year to live in city A. It costs $90,000 to live in city B. In which…

A: We have to find correct answer.

Q: The Flustard is an animal that eats three foods: squerps, fleebs, and blurds. A squerp costs $8 and…

A: Given that  A squerp costs $8 and which provides 8mg of mertle, 9 mg of perkle and 20 mg of kerple.…

Q: Maricopa's Success scholarship fund receives a gift of $ 155000. The money is invested in stocks,…

A:

Q: the fish market is selling several different kinds of fish.  There are no prices listed.  You ask…

A:

Q: To produce a textbook, suppose the publisher spent $140,000 for typesetting and $5.50 per book for…

A: Given Data: Let us consider the given total cost to print n books , C=140,000+5.5n

Q: Margaret is considering whether to buy a hybrid vehicle. The car costs $3,000 more than the…

A:

Q: A farmer Is golng to divlde her 60 acre farm between two crops. Seed for crop A costs $50 per acre.…

A: We will maximize the prize by solving linear equations involving inequalites and using the given…

Q: Jocelyn is pregnant and needs to eat at least 500 more calories a day than usual. When buying…

A: Let b represent the number of bananas she buys and let g represent the number of granola bars she…

Q: After it's new expansion funded by donations from graduates of the MSDS program, Welsh-Ryan Arena…

A: The substitution method or the elimination method can be used to solve a system of equations. We…

Q: A patient takes vitamin pills. Each day he must have at least 300 IU of vitamin A, 8 mg of vitamin…

A: We will construct a linear programming problem according to the given conditions and solve it using…

Q: Jerry Wolfe has a 100-acre farm that he is dividing into one-acre plots, on each of which he builds…

A: To convert the given word problem into a linear programming problem and solve for the optimum values

Q: DONT WIRTE IN HAND WRITTEN FORM   Bevco manufactures an orange flavored soft drink called Oranj by…

A: Formation of Linear Programming Problem. ⇒Letting x1= number of ounces of orange soda in a bottle of…

Q: How much does a liter of milk cost, and how much does a loaf of bread cost?

A: A system of equations can be solved in two variables can be solved when 2 equations are obtained…

Q: A patient takes vitamin pills. Each day he must have at least 210 IU of vitamin A, 15 mg of vitamin…

A:

Q: 18. Ricardo estimates it will cost $5,000 for his first year of college if he lives at home and…

A: Given that Ricardo estimates it will cost $5000 for his first year of college if he lives at home…

Q: A farmer has 1,280 acres of land on which he grows corn, wheat, and soybeans. It costs $45 per acre…

A: Let the number of acres of land to grow corn be C.   The number of acres of land to grow wheat be W.…