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- QUESTION 2 a) b) Ferrero Candy Company makes three types of candy, which are solid, fruit and cream- filled and packages these candies in three assortments. A box of assortment I contains 4 solids, 4 fruits and 12 creams. While, a box of assortment II contains 12 solids, 4 fruits and 4 creams. Lastly, a box of assortment III contains 8 solids, 8 fruits and 8 creams. The company can manufacture up to 4800 solids, 4000 fruits and 5600 cream candies weekly. The profit each box of assortment I, II and III are RM4, RM3 and RM5 respectively. The company wishes to maximize its profit. Formulate the problem as a linear programming model. A manufacturing company produces three types of products (R, S and T). The following is an incomplete final simplex tableau for a linear programming maximization problem. X₁, X₂ and X3 represents the units of products R, S and T, respectively. S₁, S2 and S3 are the slack variables for Resources 1, 2 and 3, respectively. i. ii. A 5 4 Basic X₂ X3 X₁ Zj Cj-Zj X₁…Question 5 We have a dataset of different countries and we want to generate an indicator that indicates whether the country is in Africa or not. We also have a variable named "continent" that is a categorical string variable indicating the continent of the country. What is the correct syntax to generate an indicator variable named Africa that is equal to 1 if the country is in Africa and 0 otherwise: gen Africa = (continent=="Africa") gen Africa = (continent==Africa) gen Africa= (continent = "Africa") gen Africa = 1 if continent == "Africa"Q1. Explain the SPACE Matrix in detail with suitable examples
- Q-1)A glass melting furnaces feed auto plumping machines for producing the electric lamp casing (balloon),there are two main kinds can be produced, the original and the big one, they must produce at least 25 million of the original but not accede over 35 million ,and they must produce 3 million of the big one, however the ratio of the original must be at least 5 times to the big one which make a profit double the original, producing million of the big one utilize 5% Of the available materials but the original utilize 2.5% of the available materials ,For this problem ,the objective function is: Max Z =0.5X1+2X2 O MIN Z =2X1+X2 O Max Z =2X1+2X2 O Max Z =2X1+X2Given the region of feasible solutions with corner points of (0,3), (4,2), (6,3), and (6,6), find the corner point that would minimize the objective function z = x +10y and state the minimum. Question 3 options: 66 3 24 36Question 2 A particular road is used by N drivers each day. Each driver obtains a benefit v from the journey and incurs a cost c(N ) that increases with the number of drivers on the road due to congestion. Suppose that the cost incurred is given by c(N) = a+bN, for some positive numbers a, b. If the agent decides not to use the road, they receive 0. You may assume throughout that the number of drivers N can be any real number (rather than an integer). Each driver uses the road at most once. the number of drivers that join the road is Ne = (v−a)/b (iv) Suppose that the government charges a toll t (a congestion charge) for each journey. Find the optimum toll. Interpret your answer in terms of the externality that each driver imposes on others.
- 13/ Do not solve it in excel, please.QUESTION 3Space and equipment are major components of cost in warehouse management. Cube utilization refers to the efficient use of space in the warehouse both on the floor and in height. You are reviewing the efficiency in relation to space utilization in the warehouse.(a) The following information is identified for some of the stock items in the warehouse. Stock keeping unit(SKU) | Number of PalletsSKU 010 2 SKU 020 5 SKU 030 13 SKU 040 7 SKU 050 4 a) The pallets are being stored 3 high. Calculate the percentage utilisation in the warehouse? (b) It is found that the low rate of space utilisation is because the warehouse is using a fixed location method of storage. Recommend two other methods of stock location the organisation can use giving reasons why?#3 Mention some drawbacks of the Linear Model?
- Question Help Tract Tract Coorainates 101 2,000 5,000 10,500 (24,44) (25,24) (52.45) (52,18) (80,48) (70,20) (90,25) 102 103 104 7.200 105 10,000 21,000 106 107 12,000 a) The center-of-gravity coordinates for the location of the proposed outlet in Mobile, Alabama should be: x = 65.63 (round your response to two decimal places). y = 29.69 (round your response to two decimal places). %3D b) Census tracts 103 and 105 are each projected to grow by 30% in the next year The new center-of-gravity coordinates for the location of the proposed outlet in Mobile, Alabama should be: orrect: 0 (round your response to two decimal places). Enter vour answer in the answer box and then click Check Answer128 A company has a factory that is designed so that it is most efficient (average unit cost is minimized) when producing 28,500 units of output each month. However, it has an absolute maximum output capability of 35,000 units per month, and can produce as little as 7,000 units per month without corporate headquarters shifting production to another plant. If the factory produces 18,900 units in October, what is the capacity utilization rate in October for this factory? Note: Round your answer to 1 decimal place.Don’t solve in excel please . Question number (3).