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Chapter 8 Solutions
MYLAB MATH FOR EXCURSIONS IN MATHEMATIC
- 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_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_forward
- Dave 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_forwardLLENGE 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 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_forwardActivity 11 ( 1 ) Please provide detailed solution with explanation and justification asap to get a upvote for Each part Pleasearrow_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_forward
- 10,01000(6)4800)-8 () (1) 2,5X+2y€85 1.5K t1.5y257 X-18 y=20 PtS 84,0) (3810arrow_forwardOnly b.ii, iii and iv please. The output of a solar panel (photovoltaic) system depends on its size. A manufacturer states that the average daily production of its 1.5 kW system is 6.6 kilowatt hours (kWh) for Perth conditions. A consumer group monitored this 1.5 kW system in 20 different Perth homes and measured the average daily production by the systems in these homes over a one month period during October. The data is provided here. (a) Analyse the consumer group’s data to test if the manufacturer’s claim of an average of 6.6 kWh per day is reasonable. State appropriate hypotheses, assumptions and decision rule at α = 0.10. What conclusions would you report to the consumer group? Hint: You will need to find Descriptive Statistics first.) (b) If 48 homes in the central Australian city of Alice Springs had this system installed and similar data wascollected, in order to assess whether average daily production in Alice Springs exceeded 6.6 kWh, (i) what would the alternate hypothesis…arrow_forwardSuppose a cost-benefit model is given by 6.5x 100-x y = where x is a number of percent and y is the cost, in thousands of dollars, of removing x percent of a given pollutant. Complete parts a through c. a. Find the cost of removing each percent of pollutants: 50%; 70%; 80%; 90%; 95%; 98%; 99%. 50% y = 70% y = 80% y = 90% y = 95% 98% y = 99% y = (Type an integer or decimal rounded to two decimal places as needed.)arrow_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
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