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Solve the following transportation problem.
Factory Warehouse
|
|
A |
B |
C |
D |
Capacity |
|
F1 |
12 |
18 |
6 |
25 |
200 |
|
F2 |
8 |
7 |
10 |
18 |
500 |
|
F3 |
14 |
3 |
11 |
20 |
300 |
|
Demand |
180 |
320 |
100 |
400 |
|
- Apply the Vogel’s Approximation Method to obtain the initial transportation schedule and hence calculate its associated [3]
- Test for its optimality using North West Corner Method. [7]
Note: Explain clearly all the steps involved.
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- If the cost of each Robust tablet increases to 75 c and the cost of each Vigortab increases to 80 c , find the minimum cost.I Student Portal - Seattle Public Sc x C Clever | Portal Schoology (31) Meeting | Microsoft Tear O x + A districtims.seattleschools.org/common-assessment-delivery/start/4980401488?action=Donresume&submissionld%3560596388 FOIL, AoS, and Vertex Quiz v.1 2 of 6 POSSIBLE POINTS: 3.33 Solve for the axis of symmetry and vertex for the following problems. Please only type your final answer into each blank. You may want scratch paper to work on. y = z-6z + 8 Axis of symmetry: x = Vertex: 3 4.mr omadoh sells sheep at the annual county auction. he wishes to use lpp to describe his problem and therefore consults the uon for assistance. sheep come in three sizes: large, medium and small. the large sheep(xl) costs sh.3500 and sells for sh.6000 each; the medium sheep (xm) costs sh.3000 and sells for sh.5000 each; the small one (xs) cost sh.1500 and sells for sh.2500 each. Omardoh must order atleast twenty of each type.he can spend nomre than sh. 0.3million on sheep invstment.his space limitation cant exceed 60 units of the large and medium sheep.he must obtain a gross revenue of atleast half a million from selling sheep.he further wants to maximise his profit subject to all the above constraints.i) formulate the appropriate LPP for omardohii)present the standard form of the LPPiii) would the profit be maximised if the objective function y= 50Xl+40Xm+20Xs was assumed for the same problem
- Oil from an offshore rig located 5 miles from the shoreline is to be pumped to a location on the edge of the shoreline that is 9 miles east of the rig. The cost of constructing a pipe in the ocean from the rig to the shore is 1.6 times as expensive as the cost of construction on land. Set up and analyze a model to determine how the pipe should be laid to minimize cost. Your "model" will need a clear drawing (or two or three or more) that shows different ways that the pipe can be laid. You will also need to explain the drawing and the parts of it that are subject to optimization. One of your drawings needs to give the arrangement that minimizes cost (with measurements and total cost included). You also need to give written mathematical proof/reasoning why this arrangement minimizes cost. Yes, your reasoning should definitely involve calculus and derivatives!apply the concepts of lagrange multipliers and provide complete solutionIn order to find the number of toys of a company should manufacture per day to optimally use their injection-molding machine and the assembly line, one needs to solve the following set of equations. The unknowns are the number of toys for boys, x, , the number of toys for girls, x,, and the number of unisexual toys, x,. [0.3333 0.1667 0.6667 756 0.1667 0.6667 0.3333 || x, 1260 1.05 -1.00 0.00 X3 Find the values of x,, x,, and x, using the Gauss-Seidel method with 1000 X2 1000 X3 1000 as the initial guess and conduct two iterations.
- 4. Salary (pesos) f 1001-2000 7 2001-3000 12 3001-4000 10 4001-5000 5001-6000 Compute the following: a. average weekly salary of the employees Solution: Salary (pesos) Xm fXm 1001-2000 2001-3000 12 3001-4000 10 4001-5000 5001-6000 5 N= 48 Efxm = _Please use the method of Lagrange multipliers to solve this problem3. The chief economist for Argus Corporation, a large appliance manufacturer, estimated the firm's short-run cost function for vacuum cleaners using an average variable cost function of the form AVC = a + bQ + cQ² where AVC = dollars per vacuum cleaner and Q = number of vacuum cleaners pro- duced each month. Total fixed cost each month is $180,000. The following results were obtained: DEPENDENT VARIABLE: AVC R-SQUARE F-RATIO P-VALUE ON F OBSERVATIONS: 19 VARIABLE INTERCEPT Q Q2 Show Transcribed Text PARAMETER ESTIMATE 191.93 -0.0305 0.0000024 Ĵ 0.7360 STANDARD ERROR 54.65 39.428 T-RATIO 3.512 0.00789 23.866 0.00000098 2.449 0.0001 P-VALUE 0.0029 0.0014 0.0262 a. Are the estimates â, b, and ĉ statistically significant at the 2 percent level of significance? b. Do the results indicate that the average variable cost curve is U-shaped? How do you know? c. If Argus Corporation produces 8,000 vacuum cleaners per month, what is the estimated average variable cost? Marginal cost? Total…
- Can I get some assistance with this coordinatization problem?The long run. A chair manufacturer hires its assembly-line labour for $18 an hour and calculates that the rental cost of its machinery is $6 per hour. Suppose that a chair can be produced using 4 hours of labour or machinery in any combination. The firm is currently using 1 hour of labour for every 3 hours of machine time. (Assume that labour is on the horizontal axis and capital is on the vertical axis). 3. Graphically illustrate your answer by drawing an isoquant, an isocost line for the current combination of labour and capital and an isocost line for the optimal combination of labour and capital. An isocost corresponding to the optimal combination of labour and capital is [a vertical line, a horizontal line, an upward sloping straight line, an upward sloping curve which is not a straight line, a downward sloping straight line, a downward sloping curve which is not a straight line, L-shaped] has slope [ ] at the optimal combination of inputs An isoquant…2. The chief economist for Argus Corporation, a large appliance manufacturer, estimated the firm’s short-run cost function for vacuum cleaners using an average variable cost function of the form AVC = a + bQ + cQ2 where AVC = dollars per vacuum cleaner and Q = number of vacuum cleaners produced each month. Total fixed cost each month is $180,000. The following results were obtained: DEPENDENT VARIABLE: AVC R-SQUARE F-RATIO P-VALUE ON F OBSERVATIONS: 19 0.7360 39.428 0.0001 PARAMETER STANDARDVARIABLE ESTIMATE ERROR T-RATIO P-VALUEINTERCEPT 191.93 54.65 3.512 0.0029 Q - 0.0305 0.00789 23.866 0.0014 Q2 0.0000024…
