7. Suppose we produce x1 AA batteries by ProcessP₁ and x2 by Process P2, furthermore x3 A batteries byProcess P3 and x4 by Process P4. Let the profit for 100batteries be $10 for AA and $20 for A. Maximize thetotal profit subject to the constraints12x18x26x3 + 4x4 ≤120(Material)3x+6x2 + 12x3 + 24x4 180 (Labor).

The Problem can be written as:Take x1 for number of AA Batteriesand x2 for batteries produced by…

Answered: 7. Suppose we produce x1 AA batteries…

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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Food item 1 has 11 units of nutrient 1, 275 units of nutrient 2, and 17units of nutrient 3. Food item 2 has 2 units of nutrient 1, 875 units of nutrient 2, and4 units of nutrient 3. A human desires a constraint of at most 15 units of nutrient 1and 700 units of nutrient 2 among these two food items. How much of each food itemwould maximize the value of nutrient 3?
4. A manufacturer must decide how many chairs and tables to produce in a given week. It takes 2 hours to construct a chair and 3 hours to construct a table. The finishing process requires 2 hours for each chair and 2 hours for each table. There are 36 work hours available for construction and 28 work hours available for finishing. If the profit is $15 per chair and $25 per table, how many of each should be produced to maximize profit? Define your variables. HO 8 Find the Profit or Objective Function. Construction Find the Constraint equations. Do negatives make sense? 61 y Pt d for chairs for tables ho 21139036 X20 10 12 14 1618002 2 PCXIT ISXH59 The vertices of the feasible region. y 20 finish 2x+2y ≤28 Y= y=-2 3X+12
how don in solve for the optimal combination of labour and capital that maximized output. given 4K2+3KL+6L2 subject to the budget constraint K+L=56
5. A small business enterprise makes dresses and trousers. To make a dress, it requires ½ hour of cutting and 20 minutes of stitching. To make a trouser, it requires 15 minutes of cutting and hour of stitching. The profit on a dress is N$40 and on a pair of trousers N$50. The business operates for a maximum of 8 hours per day Determine how many dresses and trousers should be made to maximize profit and what the maximum profit is. O A The maximum profit is N$800, 10 dresses and 8 trousers OB The maximum profit is N$850, 12 dresses and 6 trousers OC The maximum profit is N$860, 12 dresses and 6 trousers OD The maximum profit is N$880, 12 dresses and 8 trousers
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
4. Maximize the daily output in producing x₁ chairs by Process P₁ and x2 chairs by Process P₂ subject to 3x1 + 4x2 ≤ 550 (machine hours), 5x1 + 4x2 ≤ 650 (labor). 5. Minimize f= 5x120x2 subject to -2x1 + 10x2 ≤5, 2x1 + 5x2 ≤ 10.
A petroleum refiner se

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