Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side SP. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale. o 5 R 18 M
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- The City Council proposed to utilize a government-owned land with an area of 21,600 square meters. One-third of it will be used for a picnic area while the rest of the land will be planted by mango trees. As the city engineer, you were tasked to determine the dimensions of the picnic area with the minimum cost of fencing given that area is to be rectangular and to be fenced off on three sides not adjacent to the highway. a) Illustrate and represent the variables used b) Detailed SolutionA blending process is to combine three components to create a final blind of 60,000 gallons. The three components cost $2, $1.5 and $1.25 per gallon respectively. Total cost of the components should equal 90,000. Another requirement of the blending is that the number of gallons used of component 1 should be twice the amount used of component three. Determine whether there is a combination of three components satisfying the blending restriction. Apply Gaussian elimination approach.A farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. What should the lengths of the sides of the rectangular field be so as to minimize the cost of the fence? Show work.
- the management of the Unico department store has decided to enclose and 855 feet squared area outside the building for displaying potted plants and flowers one side will be formed by an external walk of the store to sites will be constructed of Pine Road at the port side we will make made of gold by Steel fencing is a pine board fencing cost $7 running foot and the still facing cost $2 running foot determine the dimensions of the enclosure that will be erected at minimum cost. Wood cost Steel costAn oil explorer must decide whether to drill on a site before her option expires or to abandon her rights to the site. Drilling a well costs $100,000. If oil is struck, the explorer will sell and make a $500,000 profit. The explorer can hire a geologist to take a seismic sounding of the site at the cost of $10,000. Such soundings reveal, with certainty, whether the geophysical substructure of the land is of type A, type B or Type C, where each type has a different degree of favorability for the existence of oil. From experience, the probability that a certain substructure will occur, given that oil exists, is P(type A|oil) = 14/28 P(type B|oil) = 9/28 P(type C|oil) = 5/28. Further, the following probabilities for substructures at this site are P(type A) = 0.20 P(type B) = 0.30 P(type C) = 0.50 given that P(oil) = 0.28. Perform a decision tree analysis. Determine the EVPI and EVE.OPTIMIZATION The City Council proposed to utilize a government-owned land with an area of 12,150square meters. One-third of it will be used for a picnic area while the rest of the land will beplanted by mango trees. As the city engineer, you were tasked to determine the following: 1. the dimensions of the picnic area with minimum cost of fencing given that area is to berectangular and to be fenced off on three sides not adjacent to the highway. 2. the number of mango trees that leads to a maximum yield given that if 50 trees areplanted, the average yield per tree will be 400 kilos while the average yield willdecrease by 2 kilos per tree for each additional tree on the same area due toovercrowding. Problem 1. A) Illustration and Representation of Variables = ? B) Detailed Solution = ? C) Conclusion =? Problem 2. A) Illustration and Representation of Variables = ? B) Detailed Solution = ? C) Conclusion =?
- Situation The City Council proposed to utilize a government-owned land with an area of 12,150 square meters. One-third of it will be used for a picnic area while the rest of the land will be planted by mango trees. As the city engineer, you were tasked to determine the following:1. the dimensions of the picnic area with minimum cost of fencing given that area is to be rectangular and to be fenced off on three sides not adjacent to the highway.2. the number of mango trees that leads to a maximum yield given that if 50 trees are planted, the average yield per tree will be 400 kilos while the average yield will decrease by 2 kilos per tree for each additional tree on the same area due to overcrowding. Verify that the value/s is/are extremum/extrema using either first/second derivative test.What are the defining equations for the corner-point infeasible solution?Suppose that the reserve requirement is 5% but that the average reserve ratio is 20% of deposits. Further, individuals, businesses, and foreign entities hold another 20% of the money supply in cash (currency in circulation). Calculate the money multiplier using the numbers provided. How would the money multiplier change if all banks held only the amount of reserves required, with no currency in circulation? Explain which money multiplier is more realistic. Don't use Chat GPT. Needs Complete solution with 100 % accuracy. I vill upvote u if u give right answer.
- A production process produces and packages soap in boxes weighing 140 grams. Owing to inspection carried out by several large municipalities, the penalty for placing, on the average, less than 140 grams in a box can be severe. Likewise it would also be wasteful for the company if they place, on the average, more than 140 grams in a box. Hence, the machine was adjusted to put 140 grams of soap in a box. After a year, the company wants to check if there is a need to readjust the machine. The company wishes to perform a test of hypothesis at 0.01 level of significance using the following data collected from a random sample: (photo attached). • State Ho and Ha.• Write the formula of the test statistic to be used.• State the decision rule at 0.01 level of significance.• Compute for the value of the test statistic.• Is there sufficient evidence at 0.01 level of significance for the company to conclude that mean weight of soap packaged in a box is not anymore 140 grams so that there is a need…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 facilityUsing the point drawing tool, plot all the corner points for the feasible area. Find the optimum solution to X,Y and optimal solution to value Z. example 14
