The Tubular Ride Boogie Board Company has manufacturing plants in Tucson, Arizona and Toronto, Ontario. You have been given the job of coordinating distribution of the latest model, the Gladiator, to outlets in Honolulu and Venice Beach. The Tucson plant, when operating at full capacity, can manufacture 620 Gladiator boards per week, while the Toronto plant, beset by labor disputes, can produce only 410 boards per week. The outlet in Honolulu orders 500 Gladiator boards per week, while Venice Beach orders 530 boards per week. Transportation costs are as follows. Tucson to Honolulu: $10 per board; Tucson to Venice Beach: $5 per board. Toronto to Honolulu: $20 per board; Toronto to Venice Beach: $10 per board. (a) Assuming that you wish to fill all orders and ensure full capacity production at both plants, is it possible to meet a total transportation budget of $10,000? O Yes O No If so, how many Gladiator boards are shipped from each manufacturing plant to each distribution outlet? (If there is no solution, enter NONE in all answer blanks.) Tucson to Honolulu boards Tucson to Venice Beach boards Toronto to Honolulu boards Toronto to Venice Beach boards (b) Is there a way of doing this for less money? Yes O No O O

The Tubular Ride Boogie Board Company has manufacturing plants in Tucson, Arizona and Toronto, Ontario. You have been given the job of coordinating distribution of the latest model, the Gladiator, to outlets in Honolulu and Venice Beach. The Tucson plant, when operating at full capacity, can manufacture 620 Gladiator boards per week, while the Toronto plant, beset by labor disputes, can produce only 410 boards per week. The outlet in Honolulu orders 500 Gladiator boards per week, while Venice Beach orders 530 boards per week. Transportation costs are as follows. Tucson to Honolulu: $10 per board; Tucson to Venice Beach: $5 per board. Toronto to Honolulu: $20 per board; Toronto to Venice Beach: $10 per board. (a) Assuming that you wish to fill all orders and ensure full capacity production at both plants, is it possible to meet a total transportation budget of $10,000? O Yes O No If so, how many Gladiator boards are shipped from each manufacturing plant to each distribution outlet? (If there is no solution, enter NONE in all answer blanks.) Tucson to Honolulu boards Tucson to Venice Beach boards Toronto to Honolulu boards Toronto to Venice Beach boards (b) Is there a way of doing this for less money? Yes O No O O

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Systems Of Equations

Section11.CT: Test

Problem 24CT

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The Tubular Ride Boogie Board Company has manufacturing plants in Tucson, Arizona, and Toronto, Ontario. You have been given the job of coordinating distribution of the latest model, the Gladiator, to their outlets in Honolulu and Venice Beach. The Tucson plant, when operating at full capacity, can manufacture 620 Gladiator boards per week, while the Toronto plant, beset by labor disputes, can produce only 310 boards per week. The outlet in Honolulu orders 470 Gladiator boards per week, while Venice Beach orders 490 boards per week. Transportation costs are as follows: Tucson to Honolulu: $10 per board; Tucson to Venice Beach: $5 per board; Toronto to Honolulu: $20 per board; Toronto to Venice Beach: $10 per board. Your manager has informed you that the company's total transportation budget is $5,250. You realize that it may not be possible to fill all the orders, but you would like the total number of boogie boards shipped to be as large as possible. Given this, how many Gladiator…
The Tubular Ride Boogie Board Company has manufacturing plants in Tucson, Arizona and Toronto, Ontario. You have been given the job of coordinating distribution of the latest model, the Gladiator, to outlets in Honolulu and Venice Beach. The Tucson plant, when operating at full capacity, can manufacture 620 Gladiator boards per week, while the Toronto plant, beset by labor disputes, can produce only 410 boards per week. The outlet in Honolulu orders 500 Gladiator boards per week, while Venice Beach orders 530 boards per week. Transportation costs are as follows. Tucson to Honolulu: $10 per board; Tucson to Venice Beach: $5 per board. Toronto to Honolulu: $20 per board; Toronto to Venice Beach: $10 per board. (a) Assuming that you wish to fill all orders and ensure full capacity production at both plants, is it possible to meet a total transportation budget of $10,400? Yes or No If so, how many Gladiator boards are shipped from each manufacturing plant to each…
JBC Food Corporation will manufacture two variants of Dingdong snack mix, the plain and hot and spicy. Both snack mixwill have US grade green peas, corn chips and curls aside from the usual greaseless peanuts and corn bits inside a dingdongpack. For the pilot production, JBC has 100kg of US grade green peas, 20kg of corn chips and 30kg of curls. The mixture ofthe plain Dingdong snack mix contains at least 20% of the US grade green peas. The mixture of the hot and spicy Dingdongsnack mix must contain at least 10% of the US grade green peas and 15% curls. Assume that one kg of the mixed nutscontributes one kg to one pack of dingdong snack mix. Each kg of Plain Dingdong snack mix can be sold for P500 and eachkg of Hot and Spicy Dingdong Snack mix can be sold for P450. Formulate an LP that will maximize Revenue of JBC FoodCo. for its pilot production.
A state university is buying computers and has narrowed it down to two different models that they would like to purchase, the Pear and the iNac. Each Pear has 160 GB of memory and 160 TB of disk space and each iNac has 480 GB of memory and 80 TB of disk space. For accreditation reasons the school would like to be able to say they have a total of at least 43200 GB of memory and at least 19200 TB of disk space. If the Pears cost $2200 each and the iNacs cost $1000 each, how many of each computer should they get to minimize cost.
A state university is buying computers and has narrowed it down to two different models that they would like to purchase, the Pear and the iNac. Each Pear has 160 GB of memory and 160 TB of disk space and each iNac has 480 GB of memory and 80 TB of disk space. For accreditation reasons the school would like to be able to say they have a total of at least 43200 GB of memory and at least 19200 TB of disk space. If the Pears cost $2200 each and the iNacs cost $1000 each, how many of each computer should they get to minimize cost. _____Pears _____iNacs
The vintage Restaurant is located on Captiva Island, a resort community located near Fort Meyers, Florida. The restaurant, which is owned and operated by Karen Payne, has just completed its third year of operation. During this time, Karen sought to establish a reputation for the restaurant as a high-quality dining establishment that specializes in fresh seafood. The efforts made by Karen and her staff have proved successful, and her restaurant has become one of the best and fastest-growing restaurants on the island. Karen has just concluded that to plan better for the growth of the restaurant in the future, it is necessary to develop a system that will enable her to forecast food and beverage sales by the month for up to 1 year in advance. Karen has the following data available on the total food and beverage sales that were realized during the previous 3 years of operation. Food and Beverage Sales for the Vintage Restaurant ($1000s) Month First Year Second Year Third YearJanuary 242…
Due to heavy rains that destroyed numerous roadways in Jamaica the National Works Agency (NWA) has decided to repair 300 km of the Sothern Coastal Highway and 200 km of Type A roads from Kingston to Lucea. The repair will cost $2 million per km for the Type A roads and $8 million per km for the Southern Coastal Highway. The NWA has identified two firms China Harbour and Caribbean Construction. Caribbean Construction can repair at most 300 km while China Harbour has no restriction on the amount of roadway it can repair. Each company must be awarded a contract of at least $300 million (before discounts). Each company wants to maximize the quantity of highway and Type A roads awarded by the NWA so are willing to offer a per km discount. China Harbour offers a discount of 1% for each km of Southern Coastal Highway and Type A road. Caribbean Construction offers a flat discount of $30,000 for each km of Type A road and $50,000 for each km of the Southern CoastalHighway. Due to a significant…