6. A farmer has recently acquired a 50 hectares piece of land. He has decided to grow corn and banana onthat land. Due to excellent climate in the region, the entire production of corn and banana can be sold.He wants to know how to plant each crop in the 50 hectares, given the costs, net profits, and laborrequirements according to the data shown below:CropCost/HectareNet Profit/HectareMan-days/hectareP 45,500.00P 85,000.00P 38,000.00P 65,000.00Corn10Banana30The farmer has a budget of P 550,000 and an availability of 1,200 man-days during theplanning stage. Formulate as a linear programming problem.

To formulate a linear programming problem for the given situation.

Answered: . A farmer has recently acquired a 50…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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6. Charlie's Chick Peas come in cans as shown. a) Determine the volume of one can. b) Could Charlie save money on packaging materials by altering the design of his can? Explain. c) Determine the maximum amount Charlie can save on materials without reducing the volume of the container. Express your answer as a percent. nislqx3 shem woy K 8 cm H Charlie's Chick Peas 18 cm 1.6 Analyse Optimum Volume and Surface Area. MHR MHR 6
8. An entrepreneur wanted to assess the quality of eggs produced by his subcontractors. He measured the weight (Y in g) of each egg in a selected pen as well as its circumference (X, in cm) to obtain the size. Define the population of the study.
Assuming an M/M/1 system setup with a service rate of 25 entities per hour and an idling ratioof 4% Define the system’s birth rate. Define at least two ways of arriving at the number of entities in the system. Define the ratio of the time an entity spends waiting and the time the entity spends in thesystem?
Step 3: Assess the Evidence (Calculate the test statistic for the observed sample mean. Sketch the T-distribution and identify the position of the observed test statistic. Shade the area that represents the P-value. Use the test statistic to find the P-value.)
5 Imagine that a company sells portable walkie-talkie radios to construction crews. The batteries for these radios last for an average of 55 hours. The purchasing manager for this company receives a brochure in the mail that advertises a new brand of batteries. This new brand of batteries is cheaper than the brand that the company currently uses. However, the purchasing manager is concerned that the cheaper batteries may have a shorter average battery life than the current brand. (Note: The number of hours that batteries last is called their battery life.) The pricing manager installs 40 randomly selected batteries of the cheaper brand in the company's walkie-talkie radios. He finds that the mean battery life for the sample is 52 hours, with a standard deviation of 10 hours. He wants to perform a statistical test at the 1% level of significance to determine whether the cheaper batteries have a shorter average battery life span than the average life span of the brand of batteries the…
Sandhill Company completes and transfers out 13,720 units and has 1,960 units of ending work in process that are 25% complete as to conversion costs. Materials are entered at the beginning of the process, and there is no beginning work in process. Assuming unit. materials costs of $3 and unit conversion costs of $5 , what are the costs to be assigned to units (a) completed and transferred out and (b) in ending workingrocess?
3. You are building a go-cart for the National Go-cart Championship Race. Knowing that heavier go-carts travel faster but consume more gas, you need to figure out the optimal go- cart weight. This graph shows the relationship between the weights of last year's go-carts and the amount of gas they used. Use the graph to answer questions a-d. Gas Consumption Depending on Car Weight 400 350 300 E250- 200 150 100 50 40 60 80 100 120 140 160 Car weight (kg) Gas used (ml) 20 OHayden-McNeil, LLC
9. After looking at this list, you are concerned that you may not be able to afford the food that you have chosen to provide enough protein for your diet. So you have decided to get the biggest bang for your buck by comparing the amount of protein for the price that you can buy the food for. The following 4 items were priced at Walmart on 1/2/2014. Also included is the serving per item and the protein for each serving for the product chosen. Make sure to show your work. Price per Protein (g) Food Item Bush Pinto Beans Jif Peanut Butter Bumblebee Canned Chicken Cherrios Cereal Price per item $0.84 $3.98 $2.38 $3.68 Servings per item 3.3 25 4 18 Protein (g) per serving 78 78 13g 3g of protein?
In 1993 the average expenditure of the employees on food and other items was as follows : In Cuttack In Bhubaneswar (i) Food 60% (ii) Other items 40% 50% 50% In 1998, the cost of living index was 279 for Cuttack and 265 for Bhubaneswar with 1993 as the base. The rise in price of all the items used by the employeees was known to be the same for both the towns. Determine the 1998 index for (i) food and (ii) other items.
In 1997 Fuller and coworkers at Texas A&M University estimated the operating costs of cotton gin plants of various sizes. The operating costs of the next to the smallest plant is shown in the following table. x 2000 4000 6000 8000 10000 12000 y 163,200 230,480 301,500 376,160 454,400 536,400 Here x is the annual number of bales produced, and y is the dollar total cost. (Use 4 decimal places in your answer.)A. Determine the best fitting line using least squares. Also determine the square of the correlation coefficient.The best fitting line is C(x) = .The square of the correlation coefficient is r2 = .B. The study noted that revenue was $63.25 per bale. At what level of production will this plant break even?The revenue equation is R(x) = The profit equation is P(x) = The production will break even when bales are produced.C. What are the profits or losses when production is 3000 bales? 4000 bales? (Round to the nearest cent.)When…

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