XYZ Corporation operates two plants, each of which has a capacity of 200 units per day. Each day, XYZ must ship their product to each of four customers. Customers A, B, and C each have a demand of 17 units per day while customer D has a demand of 349 units per day. The cost of shipping one unit of each product from each of the two plants to each of the customers is shown in the table below. Customer A Customer B Customer C Customer D Plant 1 25 19 12 14 Plant 2 15 21 23 20 How many units should XYZ ship from each plant to each customer?

XYZ Corporation operates two plants, each of which has a capacity of 200 units per day. Each day, XYZ must ship their product to each of four customers. Customers A, B, and C each have a demand of 17 units per day while customer D has a demand of 349 units per day. The cost of shipping one unit of each product from each of the two plants to each of the customers is shown in the table below. Customer A Customer B Customer C Customer D Plant 1 25 19 12 14 Plant 2 15 21 23 20 How many units should XYZ ship from each plant to each customer?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: A company makes ceramic and porcelain tiles. They produce three different grades of tile, each of…

Q: Kane Manufacturing has a division that produces two models of fireplace grates, x units of model A…

A: Introduction:As per the question we are given a model of the Manfacturing is a company with a…

Q: Ziba, Inc. manufactures Titanium and Carbon frame racquets. In the coming production period, Ziba…

A: Given Information:The process time with demand and supply is given for the production of Titanium…

Q: Kane Manufacturing has a division that produces two models of fireplace grates, x units of model A…

A: As per the question we are given a model of the Manufacturing is a company with a division that…

Q: A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will…

Q: Appliance Wholesalers, LLC assembles coffee makers that use grounds and cup style coffee makers in…

A: we have to form a linear programming problem and solve it by using graphical method

Q: Kane Manufacturing has a division that produces two models of fireplace grates, x units of model A…

A: As per the question we are given a model of the Manufacturing is a company with a division that…

Q: A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will…

A: Given that:A company wishes to produce two types of souvenirs Type-A and Type-B. Type-A…

Q: Kane Manufacturing has a division that produces two models of fireplace grates, x units of model A…

A: As per the question we are given a model of the Manufacturing is a company with a division that…

Q: A company makes a single product on two separate production lines, A and B. Its labor force is…

Q: A refinery has two smelters that extract metallic iron ore. Smelter A pro- cesses 1000 tons of iron…

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20…

A: Let the farmer has monthly requirement of X1 yd3 of mix A and X2 yd3 of mix B.Objective function…

Q: farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20 pounds…

A: Mix A Mix B Minimum requirement Phosphoric acid 20 10 500 Nitrogen 30 30 990 Potash 5 10…

Q: A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 36…

A: Here,x: cubic yards of mix Ay: cubic yards of mix B

Q: Appliance Wholesalers, LLC assembles coffee makers that use grounds and cup style coffee makers in…

Q: Kindly give me a detailed response. Thank you.

A: We will be using linear programming to identify the optimal schedule and will use Excel solver to…

Q: A department store sells three different types of televisions: small, medium, and large. The store…

A: Let be number of small, medium and large television sets.From the given information, formulate the…

Q: Your small farm encompasses 100 acres, and you are planning to grow tomatoes, lettuce, and carrots…

A: First, formulate the Linear Programming Problem, then solve it using the simplex(Big M) method.

Q: Approaching the month of Ramadan, PT Prima Sehat predicts that there will be an increase in demand…

Q: How many units of each product should be manufactured to maximize profit, and what is the maximum…

A: Let the number of units of product A be x , number of units of product b be y and number of units of…

Q: A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20…

A: Mix A Mix B Minimum requirement Phosphoric acid 20 10 500 Nitrogen 30 30 990 Potash 5 10…

Question

	Customer A	Customer B	Customer C	Customer D
Plant 1	25	19	12	14
Plant 2	15	21	23	20

How many units should XYZ ship from each plant to each customer?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Strategy

VIEW

Step 2: Python Code

VIEW

Step 3: Code Explanation

VIEW

Solution

VIEW

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

An angler fishes half of their time at East Delaney Lake, one quarter of their time at South Delaney Lake, and one quarter of their time at North Delaney Lake. Each lake has only two types of trout, brown trout and cutthroat trout. In East Delaney Lake, 6% of the trout are brown trout. In South Delaney Lake 64% of the trout are brown trout. In North Delaney Lake 69% of the trout are brown trout. Assume that any individual trout fish has the same chance of being caught by an angler spending time at that lake. Given that the angler caught a brown trout, what is the conditional probability that they caught the trout on North Delaney Lake? Use three decimal place accuracy.
A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20 pounds of phosphoric acid, 30 pounds of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 10 pounds of phosphoric acid, 30 pounds of nitrogen, and 10 pounds of potash. The minimum monthly requirements are 430 pounds of phosphoric acid, 990 pounds of nitrogen, and 210 pounds of potash. If mix A costs $20 per cubic yard and mix B costs $35 per cubic yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum cost? What is this cost? If mix A costs $20 per cubic yard and mix B costs $35 per cubic yard, the farmer should blend yd³ of mix A and requirements at a minimum cost. yd³ of mix B to meet the minimum monthly The cost is $
A furniture factory makes and sells chairs, tables and chests. Producing a chair requires 2 hours of construction and 1 hour of painting. Producing a table requires 4 hours of construction and 3 hours of painting. Producing a chest requires 8 hours of construction and 6 hours of painting. In a typical week there are 280 labor hours available for construction and 178 hours for painting. Due to market demand the company always produces four times as many chairs as tables. If all available time is used in every department, how many of each item are produced during a typical week? a. Define the variables and build a system of equation for this problem. b. Show how to use the INVERSE to solve this system of equations. c. If the factory decided to produce 88 chairs, 22 tables and 32 chests how many hours would be needed for construction and painting. Show how matrix algebra can be used to answer this question.. d. If there were C hours for construction and P hours for painting, report a…
A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will result in a profit of $0.80, and each Type B souvenir will result in a profit of $1.00. To manufacture a Type A souvenir requires 2 minutes on Machine I and 1 minute on Machine II. A Type B souvenir requires 1 minute on Machine I and 3 minutes on Machine II. There are 2 hours available on Machine I and 5 hours available on Machine II. (a) For a meaningful solution, the time available on Machine II must lie between and min. (Enter your answers from smallest to largest.)(b) If the time available on Machine II is changed from 300 min to (300 + k) min, with no change in the maximum capacity for Machine I, then Ace Novelty's profit is maximized by producing Type A souvenirs and Type B souvenirs, where ≤ k ≤ .(c) Find the shadow price for Resource 2 (associated with constraint 2). (Round your answer to the nearest cent.)$
A local brewery produces three types of beer: premium, regular and light. The brewery has enough vat capacity to produce 27,000 gallons of beer per month. A gallon of premium beer requires 3.5 pounds of grain, a gallon of regular requires 3.7 pounds of grain, and a gallon of light requires 4.2 pounds of grain. The brewery is able to acquire 45,000 pounds of grain every month. While the brewery's largest seller is regular beer, it wants to have a competitive market mix of beer. Thus, the brewery wishes to produce at least 5,000 gallons of premium beer, but not more than 12,000 gallons of light and premium beer combined. The brewery makes a profit of $3 per gallon of premium beer, $2.40 per gallon of regular beer, and $2.80 per gallon of light beer. The brewery manager wants to know how much of each type of beer should be produced in order to maximize profit. Use the following model and accompanying POM printout to answer the following questions. Note: Xi = gallons of premium X2 =…
Blue Ridge Hot Tubs manufactures and sells two models of hot tubs: the Aqua-Spa and the Hydro-Lux. Howie Jones, the owner and manager of the company, needs to decide how many of each type of hot tub to produce during his next production cycle. Howie buys prefabricated fiberglass hot tub shells from a local supplier and adds the pump and tubing to the shells to create his hot tubs. (This supplier has the capacity to deliver as many hot tub shells as Howie needs.) Howie installs the same type of pump into both hot tubs. He will have only 200 pumps available during his next production cycle. From a manufacturing standpoint, the main difference between the two models of hot tubs is the amount of tubing and labor required. Each Aqua-Spa requires 9 hours of labor and 12 feet of tubing. Each Hydro-Lux requires 6 hours of labor and 16 feet of tubing. Howie expects to have 1,566 production labor hours and 2,880 feet of tubing available during the next production cycle. Howie earns a profit of…
Jenck's Homemade Ice Cream, LLC is planning its production for next week. As there is a current shortage of fresh milk and one of the mixing machines is broken, demand for chocolate chocolate-chip ice cream and chocolate peanut-butter ice cream continues to outpace the company's production capacities. The mixing machines will be available for only for only 158.6 hours, and only 17500 gallons of high grade milk will be available. One hundred gallons of chocolate chocolate-chip requires 0.6 hour of mixing and 75 gallons of milk. One hundred gallons of chocolate peanut-butter ice cream requires 0.8 hour of mixing and 80 gallons of milk. If company earns a profit of $115.00 per hundred gallons of chocolate chocolate-chip and $130.00 per hundred gallons of chocolate peanut-butter, how many gallons of each ice cream should company produce next week to maximize profit? How much profit will result? (Use x for hundred gallons of chocolate chocolate-chip and y for hundred gallons of chocolate…
A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20 pounds of phosphoric acid, 30 pounds of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 10 pounds of phosphoric acid, 30 pounds of nitrogen, and 10 pounds of potash. The minimum monthly requirements are 400 pounds of phosphoric acid, 990 pounds of nitrogen, and 220 pounds of potash. If mix A costs $20 per cubic yard and mix B costs $35 per cubic yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum cost? What is this cost? If mix A costs $20 per cubic yard and mix B costs $35 per cubic yard, the farmer should blend yd3 of mix A and yd³ of mix B to meet the minimum monthly requirements at a minimum cost. The cost is $.
A small machine shop has one drilling and five milling machines, which are to be used to produce a finished product consisting of two parts, P1 and P2. The productivity of each machine for the two parts is given below: Production Time (Minutes per Piece) Part Profit ($ per Piece) Drilling Milling P1 4 3 20 P2 5 15 It is desired to maintain a balanced loading on all machines such that no machine runs for more than 30 min per day longer than any other machine (assume that the milling load is split evenly among all five milling machines). Formulate a linear program to divide the work time of each machine to maximize the profit assuming an 8 h working day.
Kane Manufacturing has a division that produces two models of grates, model A and model B. To produce each model A grate requires 3 pounds of cast iron and 6 minutes of labor. To produce each model B grate requires 4 pounds of cast iron and 3 minutes of labor. The profit for each model A grate is $1.75, and the profit for each model B grate is $1.25. Available for grate production each day are 1000 pounds of cast iron and 20 labor-hours. Because of an excess inventory of model A grates, management has decided to limit the production of model A grates to no more than 180 grates per day. Maximize P = 1.75x + 1.25y subject to 3x + 4y ≤ 1000 Resource 1 6x + 3y ≤ 1200 Resource 2 x ≤ 180 Resource 3 y ≥ 0 x ≥ 0 (a) Find the shadow price for Resource 2. (Round your answer to the nearest cent.)$ (b) Identify the binding and nonbinding constraints. constraint 1 constraint 2 constraint 3
A small company manufactures three different electronic components for computers. Component A requires 2 hours of fabrication and 1 hour of assembly; component B requires 3 hours of fabrication and 1 hour of assembly; and component C requires 2 hours of fabrication and 2 hours of assembly. The company has up to 900 labor-hours of fabrication time and 700 labor-hours of assembly time available per week. The profit on each component, A, B, and C, is $7, $8, and $10, respectively. How many components of each type should the company manufacture each week in order to maximize its profit (assuming that all components manufactured can be sold)? What is the maximum profit? Let x₁, x2, and x3 be the numbers of components A, B, and C, respectively, that get manufactured. Construct a mathematical model in the form of a linear programming problem. Maximize P=[ subject to X1, X₂, X3 20 The company should manufacture (Simplify your answers.) Fabrication time restriction Assembly time restriction…
A company uses four special tank trucks to deliver four different gasoline products to customers. Eachtank has five compartments with capacities: 500, 750, 1200, 1500, and 1750 gallons. The daily demands forthe four products are 10000, 15000, 12000, and 8000 gallons. Any quantities that cannot be delivered by thecompany’s four trucks must be subcontracted at the additional costs of 5, 12, 8, and 10 cents per gallon forproducts 1, 2, 3, and 4, respectively. The goal is to develop the optimal daily loading schedule for the fourtrucks that will minimize the additional cost of subcontracting. Formulate this problem as an integer linearprogram, and solve it using linear program solver.