Shipping On the same day that the sales department at Duffin House received an order for 600 packages from the OHaganBooks.com Texas headquarters, it received an additional order for 200 packages from Fantasy Books.com, based in California. Duffin House has warehouses in New York and Illinois. The New York warehouse has 600 packages in stock, but the Illinois warehouse is closing down and has only 300 packages in stock. Shipping costs per package of books are as follows: New York to Texas: $20; New York to California: $50; Illinois to Texas: $30; Illinois to California: $40. What is the lowest total shipping cost for which Duffin House can fill the orders? How many packages should be sent from each warehouse to each online bookstore at a minimum shipping cost?
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Chapter 5 Solutions
Finite Mathematics
- A graphic design firm placed two orders for computers from Apple Inc. For their web design department, they purchased 2 15-inch MacBook Pro laptops and 3 Mac Pro Quad-core desktops for a total order price of $10,895. For their graphic arts department they purchased 4 15-inch MacBook Pro laptops and 3 Mac Pro Quad-core desktops for a total order price of $14,293.t Assume the prices of the computers did not change between orders. (a) Create a system of equations to model this situation. Be sure to identify what your variables represent. (Let m represent the price in dollars of a MacBook Pro laptop and q represent the price in dollars of a Mac Pro Quad-core desktop.) web design department order graphic arts department order (b) Solve the system of equations. How much did each type of computer cost? MacBook Pro laptop 2$ 2$ Mac Pro Quad-core desktop 12:23arrow_forwardAleah works at the mall and makes an average of $1280 per month. Her rent is $425 per month, and her car payment is $309 each month. Her parents give her $200 per month to help out with expenses, but her cell phone bill is $115 each month, and she usually spends about $200 per month on gas and fast food. Identify Aleah’s total monthly income. Identify Aleah’s total monthly expenses. Is her monthly cash flow positive or negative? If Aleah needs to save $1384 to pay her tuition next semester, how much should she save each of the next four months? Will Aleah be able to do that with her current spending?arrow_forwardKeisha takes classes at both Westside Community College and Pinewood Community College. At Westside, Keisha pays $98 per credit hour plus a $30 one-time library fee. At Pinewood, she also pays $115 per credit hour. In total, Keisha spent $4,077.arrow_forward
- A contractor, Susan Meyer, has to haul gravel to three building sites. She can purchase as much as 18 tons at a gravel pit in the north of the city and 14 tons at one in the south. She needs 10, 5, and 10 tons at sites 1, 2, and 3, respectively. The purchase price per ton at each gravel pit and the hauling cost per ton are given in the table below. Susan wishes to determine how much to haul from each pit to each site to minimize the total cost for purchasing and hauling gravel. Hauling Cost per Ton at Site Pit 1 3 Price per Ton North $30 $60 $50 $100 South $60 $30 $40 $120 Now suppose that trucks (and their drivers) need to be hired to do the hauling, where each truck can only be used to haul gravel from a single pit to a single site. Each truck can haul 5 tons, and the cost per truck is five times the hauling cost per ton given above. Only full trucks would be used to supply each site. a. Formulate this problem as an assignment problem by constructing the appropriate cost table,…arrow_forwardA storeowner orders 25 calculators that cost $43 each. The storeowner can sell each calculator for $49. The storeowner sold 22 calculators to customers. He had to return 3 calculators that were never sold and pay a $4 charge for each returned calculator (although the initial cost is refunded). What is the storeowner's profit?arrow_forwardBob works for Allies Electronics making switches. He is paid $0.40 per switch. Last week he made 724 switches on regular time and 141 switches during overtime. Find his gross earnings for the week if time-and-a-half per switch is paid for overtime.arrow_forward
- The athletics club is ordering tee shirts so it has them ready when new members join. The shirts cost $8 each. It cost$3.25 for printing up to 10 tee shirts with the club logo, $6.00 for 11 to 19 tee shirts, $8.75 for 20 to 29 tee shirts and$11.50 for 30 to 40 tee shirts. Packing and delivery is a standard charge of $4.50.The club has $260. How many tee shirts can be purchased with the club logo printed on them?arrow_forwardA garden center is running a special on houseplants. A selection of any 2 plants costs $7. If a designer buys 22 plants for new homes, how much does the designer spend on plants?arrow_forwardA waitress is paid $15.50 per hour. If her workweek is 37.50 hours, what is her monthly pay?arrow_forward
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- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice UniversityAlgebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningIntermediate AlgebraAlgebraISBN:9781285195728Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning