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- a) What is the optimal solution and what is the value of the objective function b) Which constraints are binding and which constraint show extra capacity?c) 100 hours of manufacturing time became available .Evaluate the effect? Explain19. What combination of x and y will yield the optimum for this problem? Maximize $3x + $15y, subject to (1) 2x + 3y ≤ 12 and (2) 5x + 2y ≤ 10 and (3) x, y ≥ 0. Part 2 A. x = 0, y = 3 B. x = 2, y = 0 C. x = 0, y = 0 D. x = 0, y = 4 E. x = 1, y = 5George Fine, owner of Fine Manufacturing, is consideringthe introduction of a new product line. George has consideredfactors such as costs of raw materials, new equipment, andrequirements of a new production process. He estimates that thevariable costs of each unit produced would be $8 and fi xed costswould be $70,000.(a) If the selling price is set at $20 each, how many unitshave to be produced and sold for Fine Manufacturingto break even? Use both graphical and algebraicapproaches.(b) If the selling price of the product is set at $18 per unit,Fine Manufacturing expects to sell 15,000 units. Whatwould be the total contribution to profi t from this productat this price?(c) Fine Manufacturing estimates that if it off ers the productat the original target price of $20 per unit, the companywill sell about 12,000 units. Which pricing strategy—$18per unit or $20 per unit—will yield a higher contributionto profi t?(d) Identify additional factors that George Fine shouldconsider in deciding…
- The below is an extract from the fixed asset register of ABC Ltd as at 31 December 2019Date of PurchaseCostuseful lifeLand1-Jan-306,000,000.000Building28-Feb-172,000,000.0020Vehicle:650,000.00Toyota Hilux1-Oct-19 350,000.005Ford Ranger30-Jun-17 300,000.005Furniture and Fittings1-May-20150,000.002Activities throughout the 2020 Financial Period:1. New Machinery have been purchased on 01 April 2020 at a Cost of N$ 4000,000. The machinery has been installed on the 15 April 2020 and was available for use on the 01 May 2020. Machinery is the only property plant and equipment of the company that is measured according to the revaluation method.1.1. On the 30th of October 2020 management decided to revalue the machinery due to a drastic decline in the revenue from sale of machinery produced inventory.Net replacement cost for the machine as at the 30th of October 2020 is N$2 000 000.2. The Toyota Hilux was involved in an accident on 1 October 2020 due to the floods and was written off by the…Multiple Choice: If the bakery had to produce at least one chocolate cake for every four apple pies, which of the following constraints represents better such a condition? Here: C is chocolate cakes, and A is apple pies. C+A <= 4 C+A >= 4 4C >= A None C >= 4APlease explain the answer with explanation asap: a) Which OR problem is this? b) Decision variable? c) Objective and objective function? d) Constraints?
- With the use of illustrations or examples, explain the following terms:a) Slack variableb) Surplus variablec) Constraintsd) Non-negative constraintse) Objective function NB: Answer question a-e6. Laura is trying to decide whether to sell her knitted hats on Etsy, at a holiday bazaar, or in a local boutique. Demand could be 0 hats/month, 10 hats/month, or 20 hats/month. Given the payoff matrix below, what is her decision under equally likely? Demand = 0 Demand = 10 Demand = 20 Etsy -$70 $80 $230 Bazaar -$60 $90 $240 Boutique -$80 $70 $220 Select one: a. Etsy and boutique. b. Etsy only. c. Etsy and bazaar. d. Bazaar and boutique. e. All 3 are equally good. f. Bazaar only. g. None of them are good options. h. Boutique only.Given the following information for a product-mix problem with three products and three resources. Primal Decision Variables: x1 = number of unit 1 produced; x2 = # of unit 2 produced; x3 = # of unit 3 produced Primal Formulation:Dual Formulation: Max Z (Rev.) = 25x1 + 30x2 + 20x3Min W = 50π1+ 20π2+25π3 Subject To8x1+ 6x2+ x3≤ 50(Res. 1 constraint)Subject To8π1+ 4π2+2π3≥ 25 4x1+ 2x2+ 3x3≤ 20(Res. 2 constraint)6π1+ 2π2+π3 ≥ 30 2x1+ x2+ 2x3≤ 25(Res. 3 constraint)π1+ 3π2+2π3≥ 20 x1, x2, x3≥ 0 (Nonnegativity)π1, π2, π3 ≥ 0 Optimal Solution: Optimal Z = Revenue = $268.75 x1 = 0 (Number of unit 1)Dual Var. Optimal Value = 22.5 (Surplus variable in 1st dual constraint) x2 = 8.125 (Number of unit 2)Dual Var. Optimal Value = 0 (Surplus variable in 2nd dual constraint) x3 = 1.25 (Number of unit 3)Dual Var. Optimal Value = 0 (Surplus variable in 3rd dual constraint) Resource Constraints: Resource 1 = 0 leftover…
- 1) Which of the following translates business plan into productionplanningAPPMPSMRPNone of the Above2) Master production schedule is a medium-range planning and it isused for quantity and timing ofcomponents and raw materialFinished goodsBoth A & B3) The manufacturing strategy which deploys hiring and laying ofworkers in order to match its production rate to demand is calledLevel Production StrategyChase Production StartegyHybrid StrategyNone of the above4) "In a level production strategy, if the firm makes annual 120,00units per annum, the permonth production can be estimatted by""120,00 /12""120,00 / 365"The information is not complete5) The Bill of material is an engineering documments that showsinclusive listing and sub-components to be used for end productTRUEFALSE6) A lead capacity usually increases or decreases its capacity in anticipation of demand, this is known as "Match strategyLead Capacity StrategyLag capacity strategy7) The most important output of MRP isBOMPlanned…Variable cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$6 Activity 1 0 425 500 1E+30 425 $C$6 Activity 2 27.5 0.0 300 500 300 $D$6 Activity 3 0 250 400 1E+30 250 Constraints Cell Name Final Value Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease $E$2 Benefit A 110 0 60 50 1E+30 $E$3 Benefit B 110 75 110 1E+30 46 $E$4 Benefit C 137.5 0 80 57.5 1E+30 If the coefficient for Activity 1 in the objective function changes to $50, then the objective function value: Multiple Choice will decrease by $450. is $0. will decrease by $2750. will remain the same. can only be discovered by resolving the problem.The Johnny Ho Manufacturing Company inColumbus, Ohio, is putting out four new electronic components. Each of Ho’s four plants has the capacity to add one more prod-uct to its current line of electronic parts. The unit-manufacturing costs for producing the different parts at the four plants areshown in the accompanying table. How should Ho assign the newproducts to the plants to minimize manufacturing costs?ELECTRONICCOMPONENT PLANT123 4C53 $0.10 $0.12 $0.13 $0.11C81 0.05 0.06 0.04 0.08D5 0.32 0.40 0.31 0.30D44 0.17 0.14 0.19 0.15