A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r unitsof chemical R, where:2=Chemical P costs $200 a unit and chemical R costs $800 a unit. The company wants to produce as manyunits of chemical Z as possible with a total budget of $240,000.Units of chemical R, r =A) How many units each chemical (P and R) should be "purchased" to maximize production of chemical Zsubject to the budgetary constraint?Units of chemical P, p =140p.80.2Max production, z=B) What is the maximum number of units of chemical Z under the given budgetary conditions? (Round youranswer to the nearest whole unit.)units

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Answered: A chemical manufacturing plant can…

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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A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r units of chemical R, where: Chemical P costs $100 a unit and chemical R costs $400 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $80,000. 2= 100p0.8.0.2 A) How many units each chemical (P and R) should be "purchased" to maximize production of chemical Z subject to the budgetary constraint? Units of chemical P, p = Units of chemical R, r = B) What is the maximum number of units of chemical Z under the given budgetary conditions? (Round your answer to the nearest whole unit.) Max production, z= units
A manufacturer's total production of a new product is P(L, K) = 1800L2/3K1/3 where L is the number of units of labor and K is the number of units of capital. A unit of labor costs $200, a unit of capital $800, and the total budget for labor and capital is $960,000. (a) To maximize production, how much should be spent on labor? 2$ How much on capital? 24 (b) Find the value of the Lagrange multiplier. Give an interpretation of the Lagrange multiplier. O The Lagrange multiplier is the approximate increase in the optimal value of P resulting from an increase in labor, L, by one unit. O The Lagrange multiplier is the approximate increase in the total budget for labor and capital resulting from an increase in the optimal value of P by one unit. O The Lagrange multiplier is the approximate increase in the optimal value of P resulting from an increase in the total budget for labor and capital by one unit. O The Lagrange multiplier is the approximate increase in the optimal value of P resulting…
wawb grutsgrad Beorge cit OXOL VW 5 batay ow! doily Howing GL CELLAM? Csberic y = vol od or assovo odl 1 + 11) Foxes were introduced to an area that did not naturally contain them. Based on other similar areas, the carrying capacity for this area is 130 foxes. The number of foxes was said to reach 65 (half the carrying capacity) in 38 years (which is C). Using this information and a value of B = -2.3, estimate the number of foxes in 54 years. Round to the nearest whole number. labour ho avus iedW A (1) do bas avode diger sit (0) В
A factory manufactures three products, A, B, and C. Each product requires the use of two machines, Machine I and Machine II. The total hours available, respectively, on Machine I and Machine Il per month are 7,760 and 10,080. The time requirements and profit per unit for each product are listed below. ABC Machine I 7 9 10 Machine II 8 10 16 $12 $16 $22 Profit How many units of each product should be manufactured to maximize profit, and what is the maximum profit? Start by setting up the linear programming problem, with A, B, and C representing the number of units of each product that are produced. Maximize P = subject to: <7,760 s 10,080 Enter the solution below. If needed round numbers of items to 1 decimal place and profit to 2 decimal places. The maximum profit is $ when the company produces: units of product A units of product B units of product c
A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r units of chemical R, where: z = 100p-75,0.25 Chemical P costs $100 a unit and chemical R costs $700 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $112,000. A) How many units each chemical (P and R) should be "purchased" to maximize production of chemical Z subject to the budgetary constraint? Units of chemical P, p = Units of chemical R, r = B) What is the maximum number of units of chemical Z under the given budgetary conditions? (Round your answer to the nearest whole unit.) Max production, z= units

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