A vendor specializing in outdoor gear offers customers three ways to place orders for homedelivery. Customers can place orders either in the store, online, or via telephone using acatalog. Of the orders, three-quarters are made online with one-eighth each made in storesor via telephone. Of the online orders, 30% are only for clothing, 30% are only for campingsupplies, and 40% are for both. For orders placed in the store, all are for clothing (to order asize that is not in stock). Among orders placed via telephone, 50% are only for clothing,20% are only for camping supplies, and 30% are for both. Answer parts (a) and (b)....(a) Organize these probabilities as a probability table.Purchase MethodOn-LineIn StoreTelephoneTotalClothingPurchase CampingBothTotal(Simplify your answers. Type integers or decimals.)

Let X and Y be two discrete random variables defined over the sample space S. Then the function f(x,…

Answered: A vendor specializing in outdoor gear…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Find the percentage of students
The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 72 students, requires 7 chaperones, and costs $1300 to rent. Each van can transport 8 students, requires 1 chaperone, and costs $90 to rent. Since there are 720 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 720 students. Since only 84 parents have volunteered to serve as chaperones, the officers must plan to use at most 84 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs?
A clothing retailer must decide how many boxes of fashion pants to order for the upcoming season. The pants in question come in boxes of 100, 200, and 300, and the retailer has decided to order exactly one of the three types of boxes. Naturally, there is a quantity discount: each pair of pants in the small box costs $5, in the regular box the price is $4 for a pair, & in the big box it is $3 per pair. Individual orders for pairs are, however, not possible. Demand has been estimated at either 10, 30, 70 or 80 pairs, and the probabilities for these demands are thought to be 0.2, 0.4, 0.3, and 0.1. Pants sell for $10 a pair, and customer demand must be satisfied. In case the store does not have sufficient supplies, they must purchase them from one of their competitors at $13 per pair. Pants left unsold have a salvage value of $1 each. Which of the boxes should be ordered and what is the expected profit? Show all relevant computations.
TJ, Inc. makes three nut mixes for sale to grocery chains located in the Southeast. The three mixes, referred to as the Regular Mix, the Deluxe Mix, and the Holiday Mix, are made by mixing different percentages of five types of nuts. In preparation for the fall season, TJ, Inc. just purchased the following shipments of nuts at the prices shown: Type of Nut Shipment Amount (pounds) Cost per Shipment ($) Almond 6,100 7,500 Brazil 7,400 7,025 Filbert 7,400 6,750 Pecan 6,000 7,100 Walnut 7,400 7,875 The Regular Mix consists of 15% almonds, 25% Brazil nuts, 25% filberts, 10% pecans, and 25% walnuts. The Deluxe Mix consists of 20% of each type of nut, and the Holiday Mix consists of 25% almonds, 15% Brazil nuts, 15% filberts, 25% pecans, and 20% walnuts. An accountant at TJ, Inc. analyzed the cost of packaging materials, sales price per pound, and so forth, and determined that the profit contribution per pound is $1.70 for the Regular Mix, $2.05 for the Deluxe Mix, and…
The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 70 students, requires 5 chaperones, and costs $1,400 to rent. Each van can transport 10 students, requires 1 chaperone, and costs $90 to rent. Since there are 700 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 700 students. Since only 60 parents have volunteered to serve as chaperones, the officers must plan to use at most 60 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs? The officers should rent buses and vans to minimize the transportation costs.
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…
For his classes, Professor Wright gives three types of quizzes, objective, recall, and recall-plus. To keep his students on their toes, he has decided to give at least 20 quizzes next quarter. The three types, objective, recall, and recall-plus quizzes, require the students to spend, respectively, 10 minutes, 30 minutes, and 60 minutes for preparation, and Professor Wright would like them to spend at least 12 hours(720 minutes) preparing for these quizzes above and beyond the normal study time. An average score on an objective quiz is 5, on a recall type 6, and on a recall-plus 7, and Dr. Wright would like the students to score at least 130 points on all quizzes. It takes the professor one minute to grade an objective quiz, 2 minutes to grade a recall type quiz, and 3 minutes to grade a recall-plus quiz. How many of each type should he give in order to minimize his grading time?
A vendor specializing in outdoor gear offers customers three ways to place orders for home delivery. Customers can place orders either in the store, online, or via telephone using a catalog. Of the orders, three-quarters are made online with one-eighth each made in stores or via telephone. Of the online orders, 30% are only for clothing, 30% are only for camping supplies, and 40% are for both. For orders placed in the store, all are for clothing (to order a size that is not in stock). Among orders placed via telephone, 50% are only for clothing, 20% are only for camping supplies, and 30% are for both. Answer parts (a) and (b). (a) Organize these probabilities as a probability table. Purchase Method On-Line In Store Telephone Total Clothing 0.225 0.125 0.0625 0.4125 Purchase Camping 0.225 0.025 0.25 Both 0.3 0. 0.0375 0.3375 Total 0.75 0.125 0.125 1 (Simplify your answers. Type integers or decimals.) (b) What's the probability that the customer orders clothing, either by itself or in…
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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