The following diagram represents various flows that can occur through a sewagetreatment plant with the numbers on arcs representing the maximum flow (in tonnesof sewage per hour) that can be accommodated. The plant manager wants to knowthe system's capacity.12128915316675412Formulate the algebraic model for this problem by writing down the decisionvariables, objective function, and constraints.

Given diagram represents various flows that can occur through a sewage treatment plant with the…

Answered: The following diagram represents…

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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August eats a mix of Food X and Food Y for lunch. The amount of protein, calories,and sodium per ounce for each is shown in the table below. August’s lunch should provide atleast 520 calories but less than or equal to 750 milligrams of sodium. August would like to maximize the amount of protein in his lunch mix.Let x denote the number of ounces for Food X and let y denote the number of ounces of Food Y. Topic: Graphical Methods
13) Z-Salon profits $12 on each manicure and $18 per haircut. A manicure takes 30 minutes and a haircut takes 50 minutes. There are 5 stylists who each work 6 hours per day (that is a total of 360 min x 5 = 1800 minutes in available labor). The salon can schedule 50 appointments per day. How many manicures and how many haircuts should be scheduled each day in order order to maximize profit? What is the maximum profit? Let’s get you started. Let x = number of manicures Let y = number of haircuts OBJECTIVE The objective (goal) is to maximize profit, P. So the objective equation is P = ______________________________________________ objective equation CONSTRAINTS: 1) 2) 3) 4) Now graph the above system of inequalities (constraints) on your graph paper: Find all vertices (corner points) of your shaded region. Plug them in one at a time into the objective. Note the one which makes P the biggest. This one is our solution. Corner Pt (x,y)…
The Morris family is planning to carpet their entire home. The type of carpet they want is sold at two different stores. The table and graph below show the costs for different amounts of carpet sold by the two stores. STORE A Cost Carpet Size (square yards) (dollars) 162.50 325.00 487.50 650.00 812.50 25 50 75 100 125 Cost (dollars) 500 400 300 200 100 0 STORE B 10 20 30 40 50 Carpet Size (square yards) Which store sells the carpet for the lesser amount, in cost per square foot? Show work or explain your answer. BIU E E ×₂ X² KX KY
A manufacturer of refrigerators must ship at least 100 refrigerators to its two warehouses. Each warehouse holds a maximum of 100 refrigerators. Warehouse A holds 40 refrigerators already, while warehouse B has 15 on hand. It costs $10 to ship a refrigerator to warehouse A and $14 to ship one to warehouse B. How many refrigerators should be shipped to each warehouse to minimize cost? Find the objective function and the constraints for the above problem.
need comprehensive and correct answers.This question is about optimization.
Help me please, this is confusing.
A sprinter runs a 100meter dash at a constant rate of 8.25. Meters per second . A liner constraints models the relationship between the number of seconds since the start of the race an the distance remaining until the sprinter reaches the finish line. If the number of seconds since the distance remaining until the sprinter reaches the finish line if the number of seconds since the start of the race is independent variable which of the following solutions is viable. A.(5.5,54.625) B. (-2,116.5) C.(13,-7.25) D.(4.76)
ONLY ANSWER B3!!! The inventory manager at a warehouse distributor wants to predict inventory cost (Cost in $) based on order quantity (Quantity in units). She thinks it may be a nonlinear relationship because its two primary components move in opposite directions: (1) order processing cost (costs of procurement personnel, shipping, transportation), which decreases as order quantity increases (due to fewer orders needed), and (2) holding cost (costs of capital, facility, warehouse personnel, equipment), which increases as order quantity increases (due to more inventory held). She has collected monthly inventory costs and order quantities for the past 36 months. A portion of the data is shown in the accompanying table. Cost Quantity 54.4 844 52.1 503 60.2 300 53.8 869 51.7 525 57.1 1030 61.1 288 49.8 577 53.9 490 48.2 588 47.5 606 57.4 325 59.6 1160 58.2 1072 58.7 308 58.1 1140 48.4 627 63.4 214 62.5 207 62.5 1174 62.7 1190 61.2 1166…

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