The Donaldson Furniture Companyproduces three types of rocking chairs:the children's model, the standard model,and the executive model. Each chair ismade in three stages: cutting,construction, and finishing.The time needed for each stage of each chair is given in the chart. During a specific weekthe company has available a maximum of 178 hours for cutting, 112 hours for construction,and 88 hours for finishing. Determine how many of each type of chair the company shouldmake to be operating at full capacity.StageCuttingConstructionFinishingChildren's Standard Executive4 hr7 hr2 hr5 hr2 hr4 hr5 hr3 hr2 hrThe number of executive chairs the company should make is 11.The number of standard chairs the company should make is

Given that maximum time available for cutting is 178 hours, 112 hours for construction and 88 hours…

Answered: The Donaldson Furniture Company…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Similar questions

Odette Alverez works at the Digitech Warehouse eight hours a day, earning $9.48 an hour. She is asked to work two additional hours at time and a half to help prepare for an incoming shipment of merchandise. How much will she earn for these two hours of overtime? Select one: tch a. $28.74 O b. $28.00 Oc. $28.75 O d. $28.44
A high school dietician is planning menus for the upcoming month. Anew item will be spaghetti with sauce. The dietician wants each serving tocontain at least 10 grams of protein and at least 40 grams of carbohydrates.Spaghetti contains 5 grams of protein and 32 grams of carbohydrates per cup,and the sauce contains 4 grams of protein and 5 grams of carbohydrates percup. For aesthetic reasons, the dietician wants a ratio of spaghetti to sauce to be4:1.Spaghetti costs $0.30 per cup to buy and prepare, and the sauce $0.40 per cupto buy and prepare. The dietician wants to minimize the cost per serving andkeep the calories per serving 330 or less. The sauce contains 100 calories percup, and spaghetti contains 160 calories per cup.Formulate a linear programming model for this problem.
Hello Dolly, Inc. crafts three styles of dolls: Lexi, Maysy, and Dizzy. Each doll requires sewing time, painting time, and supplies. Sewing machines are available for only 118 hours, only 2805 hours are available for painting, and 390.5 lbs. of supplies are available. Each Lexi doll requires 0.2 hours of sewing, 9 hours of painting, and 0.7 lbs. of supplies. Each Maysy doll requires 0.4 hours of sewing, 10 hours of painting, and uses 0.9 pounds of supplies. Each Dizzy doll requires 0.5 hours of sewing, 7 hours of painting, and 2 pounds of supplies. If the company earns a profit of $145 per Lexi doll, $155 per Maysy doll, and $150 per Dizzy doll, how many of each doll should the company produce to maximize profit? How much profit will result? (Use for the number of Lexi dolls, y for the number of Maysy dolls, and z for the number of Dizzy dolls.) Maximize P = subject to ≤118 ≤2805 <390.5 Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes…
Kacey has a local store that sells fresh deli meat, cheese, spices, and a variety of pantry items. Kacey has several best-selling drinkmixes: vanilla cappuccino, dark hot chocolate, white peppermint mocha, and chai latte. Each container of drink mix costs Kacey$2.39. Shipping on a box of 24 drink mixes costs $2.88. Kacey uses a cost plus markup method, whereby she adds the same setamount to each box of drink mix. In other words, she splits up the cost of shipping equally between the 24 drink mixes. Kacey sellseach container of drink mix for $4.15.a) What is the markup percent based on cost for a container of drink mix? Kacey also carries honey that she purchases locally. The honey comes in three sizes: small, medium, and large and costs $3, $5, and$7 respectively. The honey sells for $6.50, $9.00, and $11.50 respectively. b) What is the markup percent on each size jar of honey? c) If she sells 3 small jars of honey, 5 medium jars of honey, 2 large jars of honey, and 15 containers of…
A manufacturer of table saws has three models-Deluxe, Premium, and Ultimate-that must be painted, assembled, and packaged for shipping. The table gives the number of hours required for each of these operations for each type of table saw. If the manufacturer has 104.1 hours available for painting, 360 hours for assembling, and 123.2 hours for packaging, how many of each type of saw can be produced each day? Deluxe 1.2 Painting Assembling 3 Packaging 0.4 Premium Ultimate 2 2.3 7 8 0.9 3 The manufacturer can produce deluxe saws, premium saws, and ultimate saws.
The Cheery Cherry Chair Company makes three types of chairs, the Montegue, the Capulet, and the Verona. Each chair requires assembly, finishing, and a certain amount of wood to make. The assembly area can be used for at most 10 hours per day. To keep him busy, the finishing person needs to work at least 6 hours per day. Producing a Montegue requires 1 hour of assembly, 2 hour of finishing, and 9 board feet of wood. Producing a Capulet requires 1 hour of assembly, 1 hour of finishing, and 9 board feet of wood. Finally, producing a Verona requires 2 hour of assembly, 1 hour of finishing, and 3 board feet of wood. If the company wants to minimize the amount of cherry wood used, how many should they make of each model? (It is possible to complete a fractional part a chair in a given day; in the long run you end up with completed chairs.) Number of Montegues = Number of Capulets = Number of Veronas = How many board feet of cherry wood would be used each day?
Each week at a furniture factory, 2000 work hours are available in the construction department, 1400 workhours in the painting department, and 1300 work hours in the packing department. Producing a chairrequires 2 hours of construction, 1 hour of painting, and 2 hours for packing. Producing a table requires 4hours of construction, 3 hours of painting, and 3 hours for packing. Producing a chest requires 8 hours ofconstruction, 6 hours of painting, and 4 hours for packing. If all available time is used in every department,how many of each item is produced each week? Do not solve this problem, just write the augmentedmatrix associated with this problem. Specify each variable used in the equation.

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