Donna De Paul is raising money for the homeless. She discovers that each church group requires 2 hours of letterwriting and 1 hour of follow-up, while for each labor union she needs 2 hours of letter writing and 3 hours of follow-up.Donna can raise $100 from each church group and $200 from each union local, and she has a maximum of 12 hours ofletter writing and a maximum of 16 hours of follow-up available per month. Determine the most profitable mixture ofgroups she should contact and the most money she can raise in a month.F3View an example Get more help.Let x₁ be the number of church groups, and let x₂ be the number of labor unions. What is the objective function?z=(Do not include the $ symbol in your answers.)224$RFF4%52GAYH&7F7CUJ*008► 11n9Clear all▶KOOJF10Check answer4)PF11BA::04) F1211 She should contact church group(s) and [ labor union(s), to obtain a maximum of $(Simplify your answers.)View an example Get more help.80 F122$4290TRR1FF4V%5T6BF6YHV 8⁰&7←NU-00*8► 11001M(9KClear allOV1OJF10in donations.PcommandCheck answerA..F11{altoptic

We will introduce the variable first, Let x1=the number of church groups contacted. x2=the number of…

Answered: Donna De Paul is raising money for the…

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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Travel agents for a company are paid 17% commission on their holiday sales. The company offers trips to New Zealand and customers can choose from standard, deluxe or luxury packages. During one week, George sells 3 standard, 1 deluxe and 1 luxury holiday. Shirl sells 1 standard, 4 deluxe and 1 luxury holiday. Robert sells 2 standard and 2 luxury holidays. For that week George’s commission was $10,223.46, Shirl’s was $14,005.96 and Robert’s was $9,311.92. Solve using Cramer’s Rule to find the price of each holiday.
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 famine relief effort is being mounted and there are three types of food bundles that can be flown out during each delivery. Bundle 1 has 4 kg. of flour, 4 kg. of sugar and 12 litres of water. Bundle 2 has 12 kg. of flour, 4 kg. of sugar and 4 litres of water and Bundle 3 has 8 kg. of flour, 8 kg. of sugar and 8 litres of water. The relief agency has 5200 kg. of flour, 3792 kg. of sugar and 6000 litres of water for each shipment. Bundle 1 can provide for 10 people between deliveries, Bundle 2 for 8 people and Bundle 3 for 11 people. How many bundles of each type should the relief agency send on each flight in order to maximize the number of people being fed. Do this problem by setting up a linear programming problem and determining the vertices of the feasibility set. Enter the number of bundles of types 1, 2, and 3 (in that order) into the answer box below, separated with commas.
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?

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