A farmer uses two types of fertilizers. A 50-1b bag of Fertilizer A contains 8 lb...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A farmer uses two types of fertilizers. A 50-1b bag of Fertilizer A contains 8 lb of nitrogen, 2 lb of phosphorus, and 4 lb of potassium. A 50-1b bag of Fertilizer B contains 5 1b each of nitrogen, phosphorus, and potassium. The minimum requirements for a field are 440 lb of nitrogen, 260 lb of phosphorus, and 360 lb of potassium. If a 50-1b bag of Fertilizer A costs $90 and a 50-1b bag of Fertilizer B costs $80, find the amount of each type of fertilizer the farmer should use to minimize his cost C in dollars while still meeting the minimum requirements. (Let x represent the number of bags of Fertilizer A and y represent the number of bags of Fertilizer B.) Minimize C = subject to the constraints nitrogen phosphorus potassium X20 y 20 A farmer uses two types of fertilizers. A 50-1b bag of Fertilizer A contains 8 lb of nitrogen, 2 lb of phosphorus, and 4 lb of potassium. A 50-1b bag of Fertilizer B contains 5 1b each of nitrogen, phosphorus, and potassium. The minimum requirements for a field are 440 lb of nitrogen, 260 lb of phosphorus, and 360 lb of potassium. If a 50-1b bag of Fertilizer A costs $90 and a 50-1b bag of Fertilizer B costs $80, find the amount of each type of fertilizer the farmer should use to minimize his cost C in dollars while still meeting the minimum requirements. (Let x represent the number of bags of Fertilizer A and y represent the number of bags of Fertilizer B.) Minimize C = subject to the constraints nitrogen phosphorus potassium X20 y 20
Expert Answer:
Related Book For
College Mathematics for Business Economics Life Sciences and Social Sciences
ISBN: 978-0321614001
12th edition
Authors: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen
Posted Date:
Students also viewed these accounting questions
-
The manager of a department store uses two types of inventory control systems to manage the inventory of stock keeping units (SKUs) in his storea continuous review system and a periodic review...
-
Let X represent the number of tires with low air pressure on a randomly chosen car. a. Which of the three functions below is a possible probability mass function of X? Explain. b. For the possible...
-
A fruit grower uses two types of fertilizer in an orange grove, brand A and brand B. Each bag of brand A contains 8 pounds of nitrogen and 4 pounds of phosphoric acid. Each bag of brand B contains 7...
-
If you were the lead analyst for LGM, how would you determine the requirements? Be specific in your answer. List several questions you need answered. Artif. Intell. Med., 56 (3) pp. 137-156, Link:...
-
Find the inverse of original matrix of Problem and verify its correctness.
-
What factors in the Internet's informal development process lead to rapid standards development and low-cost products?
-
The following table gives the vapor pressure of water for various temperatures, previously reported in Exercise 5.2. Exercise 5.2 The following table gives the vapor pressure of water for various...
-
The balance sheet of Kishwaukee Corporation as of December 31, 2014, is as follows. Note 1: Buildings are stated at cost, except for one building that was recorded at appraised value. The excess of...
-
Badger finds his spacecraft on the bottom of a hill, to quickly move his spacecraft up the hill and over the cliff, he ties a rope to himself and jumps over the cliff to pull the spacecraft, as shown...
-
Assume that on January 1, 2013, the investor company issued 4,000 new shares of the investor company's common stock in exchange for all of the individually identifiable assets and liabilities of the...
-
Your client,(HHC), engaged in a transaction that resulted in the formation of a new entity. The IRS audited HHC's 2009 tax return, re-characterized the transaction as a disguised sale, and determined...
-
A science hobbyist has purchased a surplus transformer that converts \(7.2 \mathrm{kV}\) from neighborhood distribution lines into \(120 \mathrm{~V}\) for homes. He connects the transformer...
-
The peak current through a capacitor is \(10.0 \mathrm{~mA}\). What is the current if a. The emf frequency is doubled? b. The emf peak voltage is doubled (at the original frequency)? c. The frequency...
-
Although the evidence is weak, there has been concern in recent years over possible health effects from the magnetic fields generated by transmission lines. A typical high-voltage transmission line...
-
Charged particles orbit magnetic field lines in the space above Mars just as they do in the space above earth, but Mars's magnetic field is much weaker so the period of an orbit is much longer. One...
-
The voltage-to-current ratio in the primary coil of a transformer can be thought of as the transformer's effective resistance. A step-down transformer converts \(120 \mathrm{~V}\) at the primary to...
-
A bank agrees to lend 1300 now and X two years from now in exchange for a single repayment of 10,000 at the end of 7 years. The bank charges interest at an annual effective rate of 18.55% for the...
-
a. Show that the expansion of q(x) in ascending powers of x can be approximated to 10 2x + Bx 2 + Cx 3 where B and C are constants to be found. b. Find the percentage error made in using the series...
-
Blood flow. Poiseuille's law states that the resistance R for blood flowing in a blood vessel varies directly as the length L of the vessel and inversely as the fourth power of its radius r. Stated...
-
In Problems 1-4, find fx(x, y) and fy(x, y), and explain, using Theorem 1, why f(x,y) has no local extrema. f(x,y) = x3 - y2 + 7x + 3y + 1
-
Explain why no interest is credited to an ordinary annuity at the end of the first period.
-
A lot of compensation information is available to employees today on the Web (e.g., www.salary.com), and much of it is inaccurate. How can an organization assure employees that they are fairly...
-
Flexible benefit plans are common today. Discuss ways in which employers can ensure that employees make good choices about the benefits and benefit levels that they choose within the benefits...
-
Payroll and benefits are commonly outsourced. Discuss which parts of PM, compensation, benefits, and payroll you would consider outsourcing; justifying your views.
Study smarter with the SolutionInn App