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Global Air Lines has contracted with a tour group to transport a minimum of
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Mathematics: A Practical Odyssey
- A furniture store expects to sell 120 coffee tables during the next year. It costs $1.50 to store one coffee table for one year. To reorder, there is a fixed cost of $10, plus $2.80 for each coffee table ordered. In what lot size and how many times per year should an order be placed to minimize inventory costs? coffee tables per order orders per yeararrow_forwardDr. Paula Smith is the chief medical staff at Davidson Critical Care Unit. She needs to determine the schedule for nurses to make sure that there are enough of them on duty throughout the day. Paula has broken down the day into twelve 2-hour periods. The slowest time of the day encompasses the three periods from 12:00 a.m. to 6:00 AM., which, beginning at midnight, requires a minimum of 30, 20, and 40 nurses, respectively. The demand for nurses steadily increases during the next four daytime periods. Beginning with the 6:00 AM - 8:00 AM period, a minimum of 50, 60, 80, and 80 nurses are required for these four periods, respectively. After 2:00 PM, the demand for nurses decreases during the afternoon and evening hours. For the five 2-hour periods beginning at 2:00 PM and ending at midnight, 70, 70, 60, 50, and 50 nurses are required, respectively. A nurse reports for duty at the beginning of one of the 2-hour periods and works 8 consecutive hours (which is required in the nurses’…arrow_forwardA publishing company sells 400,000 copies of a certain book each year. Ordering the entire amount printed at the beginning of the year ties up valuable storage space and capital. However, printing the copies in several partial runs throughout the year results in added costs for setting up each printing run, which costs $1000. The carrying costs, figured on the average number of books in storage, are $.50 per book. Find the most economical lot size, that is, the production run size that minimizes the total setting up andcarrying costs.arrow_forward
- A fleet repair facility has the capacity to repair 800 trucks per month. However, due toscheduled maintenance of their equipment, management feels that they can repair nomore than 600 trucks per month. Last month, two of the employees were absent severaldays each, and only 400 trucks were repaired.a. Calculate the utilization of the repair shop.b. Calculate the efficiency of the repair shop.c. Discuss the utilization and efficiency of this repair facility. What can be done toimprove the operations at the facilityarrow_forwardParent volunteers at Somerville High School are processing yearbook order forms. Students have an option to get the basic yearbook or a deluxe option, which includes engraving and a protective cover. In Mrs. Hammond's class, 6 basic yearbooks and 4 deluxe yearbooks were ordered, for a total of $738. The students in Mr. Allen's class ordered 26 basic yearbooks and 4 deluxe yearbooks, for a total of $2,038. How much does each option cost?arrow_forwardA supplier ships goods from Richmond, VA to three market places in 3 cities (Chicago, IL; Athens, GA; St. Luis, MO). The supplier can ship every day, every other day, or every third day. There is a penalty of $0.30/cwt for each day delayed. Consolidating shipments allows for lower transportation costs from larger loads, but incurs penalty costs due to the delay. Transportation Rate (S/cwt) Shipment City Weight/day LTL 50,000 lb 50000 lb Chicago, IL 18,000 lb (180 cwt) 1.50 1.25 Athens, GA 15,000 lb (150 cwt) 1.35 1.00 St. Luis, MO 12,000 lb (120 cwt) 2.00 1.50 Total 45,000 Ib = 450 cwt Find what is the cost for the following: Shipping Every Day Shipping on the alternate Day (every two days) Shipping every three Dayarrow_forward
- Alan Macfarlan worked as a maintenance director at a rehabilitation and nursing facility. On January 24 he had a stroke, so he took leave beginning January 29 under the FMLa. in april, his doctor said he could return to work May 1 for four hours a day as long as he did not move loads heavier than 20 pounds. The facility’s administrator told him part-time work was unavailable. Then the doctor cleared him for full-time work with the load restriction. The facility fired him on April 20 and told him he would not be re-hired with load restrictions. From the time he was fired until July, when he was cleared to work without restrictions, Macfarlan received disability benefits from his insurer. He later sued the facility, claiming that by refusing to allow him to return to work in April, when he was cleared for full-time but restricted work, the facility had denied him his right under the FMLA to be restored to his previous or an equivalent position. The facility argued that since he received…arrow_forwardThe Collin Freight Company has an order for three products to be delivered to a destination. Product I requires 10 cubic feet, weighs 10 pounds, and has a value of $100. Product II requires 8 cubic feet, weighs 20 pounds, and has a value of $20. Product III requires 20 cubic feet, weighs 40 pounds, and has a value of $200. If the carrier can carry 6,000 cubic feet, 11,000 pounds, and is insured for $36,900, how many of each product can be carried? a. Identify the variables of the problem using x, y and z. b. Fill out the following table from the information given: total Volume (cu. ft.) Weight (lb.) Value ($) c. Write the augmented matrix for the system of equations. d. Solve the system of equations using Gauss-Jordan Elimination. e. In at least one complete sentence, answer the question: How many of each productcan be carried?arrow_forwardThe Lawson Fabric Mill Produces five different fabrics. Each fabric can be woven on one or more of the mill’s 36 looms. The sales department’s forecast of demand for the next month is shown in below Table 1, along with data on the selling price per yard, variable cost per yard, and purchase price per yard. The mill operates 24 hours a day and is scheduled for 30 days during the coming month. The mill has two types of looms: draw and regular. The draw looms are more versatile and can be used for all five fabrics. The regular looms can produce only three of the fabrics. The mill has a total of 36 looms: 8 are draw and 28 are regular. The rate of production for each fabric on each type of loom is given in below Table 2. The time required to change over from producing one fabric to another is negligible and does not have to be considered. The Lawson Fabric Mill satisfies all demand with either its own fabric or fabric purchased from another mill. Fabrics that cannot be woven at the…arrow_forward
- Mr. Saleh is one of the school canteen operators who joined The Supplementary Food Plan (RMT) organized by the Ministry of Education Malaysia. Assuming that each RMT student has been allocated RM3-RM4 for his meal per day. Due to that, Mr. Saleh needs to prepare one meal set consisting of one chicken rice and a box of milk for each RMT student. The raw cost of one week of meal preparation for 20 RMT students is as much as RM330 while for 100 RMT students are RM1650. The cost of chicken rice is twice the cost of the milk. Write simultaneous equations for the above situation. а. b. With the substitution method, determine the cost for chicken rice. с. With the elimination method, find the cost of each milk. d. Determine the raw cost of each RMT meal. Calculate the maximum number of RMT students that can be allocated if the weekly budget is RM2500. е.arrow_forwardCCL is a container shipping company that provides ocean transportation services between hong kong and rotterdam. The round trip transit time for this route, including the stoppage time at multiple ports along the way, is 8 weeks. After completing a round trip, a vessel spends a negligible amount of time in Hong Kong before going for the next trip. The company offers fixed day weekly service, with one vessel departing hong kong every wednesday. How many vessels does CCL need for the hong kong rotterdam routearrow_forwardTwo suppliers manufacture a plastic gear used in laser printer.arrow_forward
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