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Excursions in Modern Mathematics (9th Edition)
- Example 3. Food I contains 10 units of vitamin A and 12 unit of vitamin R gram and cost 20 paise per gram. Food II contains 7 unit of vitamin A and 15 unis of vitamin B and costs 18 paise per gram. The daily requirement of vitamin A and R are atleast 80 units and 90 units respectively. Formulate the above as an LPP to per minimise the cost. CS Scanned with CamScannerarrow_forwardDetermine a model for each of the following situation 6. Byron has 124 birds on his birding list and expects to increase this list by 30 birds each year. 7. A colony of ant triples in size each year. Let the independent variable represent the number of years that have passed.arrow_forwardDave Fletcher was able to determine the activity times for constructing his laser scanning machine. Fletcher would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. Here are the activity times: Activity A B C D Time (weeks) 5 8 3 2 Immediate. Predecessor(s) Dave's earliest start (ES) and earliest finish (EF) are: A A Activity Activity E F G H ES Time (weeks) 5 EF 5 5 10 6 Immediate Predecessor(s) B B C, E D, Farrow_forward
- LLENGE 6.4.1: Electricity. IVITY 82 2324162 qx3zay? Jump to level1 Jan's electric biltis averaging $10 per day mostly due to the air conditioner. By settng the AC to a highèr temperature, closing curtains to block sunlight, and using direct-blowing fans for comfort, Jan reduces the bill to $7 per day. How much did Jan reduce the electric bill for a 30-day month? Ex: 200 dollars 3 Check Next Feedback? etion? I6 91 Provide feedback ory for assianmont: AI 5. Roadings and Assianmonts Iduo Monl acer Carrow_forwardA biologist has 400 kg of nutrient A, 500 kg of nutrient B, and 300 kg of nutrient C. These nutrients will be used to make 4 types of food, whose contents (in percent per kilogram of food) and whose 'growth values' are shown on the right. Set up the initial simplex tableau that would be used to determine how many kilograms of each food should be produced in order to maximize total growth. PQR s 0 62.5 87.5 0 25 12.5 12.5 100 75 25 A в Growth 90 80 60 40 Value Let x, be the number of kilograms of food type P. Let x, be the number of kilograms of Q. Let x3 be the number of kilograms of R, and let x4 be the number of kilograms of S. What is the objective function? X1 + X4 + +arrow_forwardA multimedia company anticipates that there will be a demand for 20,000 copiesof a certain DVD during the next year. It costs the company $0.40 to store a DVD for one year. Each time it must make additional DVDs, it costs $250 to set up the equipment. How many DVDs should the company make during each production run to minimize its total storage and setup costs?arrow_forward
- In Australia, wheat grain exports are often affected by little insects, it has been estimated that between one quarter and one third of the world grain crop is lost each year during storage and transportation. Even with the strictest safety precautions and protocols, these insects are not completely eliminated. At the start of the voyage, 40 ants remained among the wheat grains in the cargo hold of the ship. One week into the voyage, there were approximately 310 ants. The model used to estimate the number of ants, N, is N(t) = 400/1+9e(to the power of kt) b) rearrange the model , without substitution of values , to K=arrow_forwardIn Australia, wheat grain exports are often affected by little insects, it has been estimated that between one quarter and one third of the world grain crop is lost each year during storage and transportation. Even with the strictest safety precautions and protocols, these insects are not completely eliminated. At the start of the voyage, 40 ants remained among the wheat grains in the cargo hold of the ship. One week into the voyage, there were approximately 310 ants. The model used to estimate the number of ants, N, is N(t) = 400/1+9e(to the power of kt) a) a) although the question says there are 40 ants on the ship at the start of the trip, the exporters wanted independent algebraic proof using the proposed model of N(t)=400/1+9e(to the power of kt) show how the captain used the model to prove there were 40 ants initially N(0) 400/10 = 40 ants b) rearrange the model , without substitution of values , to K= K= In(1/9(400/n(t) -1 )) / 1 c) Now , find the value of k correct to 2…arrow_forwardAt a small but growing airport, the local airline company is purchasing a new tractor for a tractor-trailer train to bring luggage to and from the airplanes. A new mechanized luggage system will be installed in 3 years, so the tractor will not be needed after that. However, because it will receive heavy use, so that the running and maintenance costs will increase rapidly as the tractor ages, it may still be more economical to replace the tractor after 1 or 2 years. The following table gives the total net discounted cost associated with purchasing a tractor (purchase price minus trade-in allowance, plus running and maintenance costs) at the end of year i and trading it in at the end of year j (where year 0 is now). 1 2 3 $18,000 10,000 $31,000 21,000 $8,000 1 2 12,000 The problem is to determine at what times (if any) the tractor should be replaced to minimize the total cost for the tractors over 3 years. Formulate this problem as a shortest-path problem by drawing a network after you…arrow_forward
- A quality control engineer studied the relationship between years of experience as a system control engineer and the capacity of the engineer to complete within a given time a complex control design including the debugging of all computer programs and control devices. A group of 25 engineers having widely differing amounts of experience (measured in months of experience) was given the same control design project. The results of the study are given in the following table with y 5 1 if the project was successfully completed in the allocated time and y 5 0 if the project was not successfully completed. a. Determine whether experience is associated with the probability of completing the task. b. Compute the probability of successfully completing the task for an engineer havingarrow_forwardActivity 11 ( 1 ) Please provide detailed solution with explanation and justification asap to get a upvote for Each part Pleasearrow_forward10,01000(6)4800)-8 () (1) 2,5X+2y€85 1.5K t1.5y257 X-18 y=20 PtS 84,0) (3810arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning