1 9 (c) 0 0 O The corresponding system has no solution, }. O The corresponding system has one solution. The solution set is The corresponding system has infinitely many solutions. The solution set is y is any real number
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- we mentioned that solving a linear programming problem in 3 variables and five constraints by the methods of corners requires that we solve 56 3*3 systems of linear equations.verify this assertion. tans finite mathematics book.. 12 th editionProof 2 implies 3 ,not type solution pleaseAn oil refinery produces low-sulfur and high-sulfur fuel. Each ton of low-sulfur fuel requires 5 minutes in the blending plant and 4 minutes in the refining plant; each ton of high-sulfur fuel requires 4 minutes in the blending plant and 2 minutes in the refining plant. If the blendiing plant is available for 3 hours and the refining plant is available for 2 hours, how many tons of each type of fuel should be manufactured so that the plants are fully used?
- An allergy pill contains 180 mg of medicine. 10% of the medicine is eliminated from the patient's body every hour. To be effective, 70 mg of the medicine needs to be in the patient's body. If the patient takes one pill at 8 am, should they still be allergy-free at 5 pm?A small business orders 3 different products from adistributor. Product X costs $2, product B\Y costs $3, and product Zcosts $5. The total cost of the order is $200 and the order is for a totalof 60 products. Set up and solve a system of equations for thissituation.a) What is the number of products X and Y if the number of Zproducts is 15?b) What is the most number of Z products in the order?Need to figure out What tupe of system is is (Independent, inconsistant, dependent) and 3 of solutions (on uniq solution, no solution, infinitly many solutions)
- You are walking in a labyrinth and all of a sudden you find yourself in front of three possibleroads: the road on your left is paved with gold; the one in front of you is paved with marble,while the one on your right is made of small stones. Each street is protected by a guardian.You talk to the guardians and this is what they tell you The guardian of the gold street: “This road will bring you straight to the center. Moreover, ifthe stones take you to the center, then also the marble takes you to the center”.The guardian of the marble street: “Neither the gold nor the stones will take you to thecenter.”The guardian of the stone street: “Follow the gold and you’ll reach the center, follow themarble and you will be lost.”Given that you know that all the guardians are liars, can you choose a road being sure that itwill lead you to the center of the labyrinth? If this is the case, which road you choose? Youcan use truth table to find out.• The distance of the corresponding point to the starting point on the number (2x+3) is greater than 7 units. • The distance of the corresponding point to the starting point on the number of (3у+4) is greater than 4 units or 4 units. Accordingly, the sum of the largest negative integer value of x and the largest negative integer value of y is kag-?Urban Community College is planning to offer courses in Finite Math, Applied Calculus, and Computer Methods. Each section of Finite Math has 40 students and earns the college $40,000 in revenue. Each section of Applied Calculus has 40 students and earns the college $60,000, while each section of Computer Methods has 10 students and earns the college $13,000. Assuming the college wishes to offer a total of six sections, accommodate 210 students, and bring in $253,000in revenues, how many sections of each course should it offer? Finite Math section(s)Applied Calculus section(s) Computer Methods section(s)
- 7 I need perfect solution plz?A mining compariy produces'100 tons of red ore and 80 tons of black ore each week. These can be treated in different ways to produce tree different alloys, soft hard or strong. To prbduce l ton of soft alloy requires 5 tons of red ore and 3 tons of black. For the hard alloy the requirements are 3 tons of red and 5 tons of black. The profit per ton from selling the alloys (after allowing for production but not mining costs, which are regarded as fixed) are 5250, $300 and 5400 for soft, hard and strong respectively. Find the optimal combination to maximize the company's profit.