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- Maximize C- 16A + 21B subject to 9A +15B $22 10A + 3B ≤ 29 and A≥0, B20. What is the optimal value of A? O 2.444 O 0.000 39.11 O 4.222STAR Co. provides paper to smaller companies whose volumes are not large enough to warran paper rolls from the mill and cuts the rolls into smaller rolls of widths 12, 15, and 30 feet. The cutting patterns have been established: 1 2 Pattern 12ft. 15ft. 30ft. Trim Loss 0 4 1 10 ft. 3 0 7 ft. 8 0 0 4 ft. 2 1 2 1 ft. 5 2 3 1 1 ft. Trim loss is the leftover paper from a pattern (e.g., for pattern 4, 2(12)+1(15) + 2(30) = 99 hand for the coming week are 5,670 12-foot rolls, 1,680 15-foot rolls, and 3,350 30-foot rolls. hand will be sold on the open market at the selling price. No inventory is held. Number of: 3HITACHI LTD. an air conditioner manufacturer, produces 'x' sets per week at a total cost of x2+780x+25000. The firm is a monopolist and the demand function for its product is x = (15000 - ), where the price is 'p' per set. 4 (i) Determine the number of AC sets to be produced per week at which the firm will earn maximum net revenue; and (ii) Decide the monopoly price.
- LPP Model Maximize P = 12x + 10y Subject to : 4x + 3y < 480 2x + 3y < 360 X, y 2 0 Which of the following points (x, y) is feasible? A) ( 120, 10) B ( 30, 100 ) c) ( 60, 90 ) D) ( 10, 120 )Suppose that Pizza King and Noble Greek stopadvertising but must determine the price they will chargefor each pizza sold. Pizza King believes that Noble Greek’sprice is a random variable D having the following massfunction: P(D $6) .25, P(D $8) .50, P(D $10) .25. If Pizza King charges a price p1 and NobleGreek charges a price p2, Pizza King will sell 10025( p2 p1) pizzas. It costs Pizza King $4 to make a pizza.Pizza King is considering charging $5, $6, $7, $8, or $9 fora pizza. Use each decision criterion of this section todetermine the price that Pizza King should charge.For the remaining questions, consider the following problem description: An oil company is considering exploring new well sites S₁, S2, ..., S10 with respective costs C1, C2, C10. And in particular they want to find the least-cost selection of 5 out of the 10 possible sites. The binary decision variables x₁,x2,..., X10 denote the decision to explore the corresponding site.
- Based on the following sensitivity analysis, which of the following products would be considered most sensitive to changes or errors in the objective function coefficient? A. Product_2 B. Product_1 C. Product_3 Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient AllowableIncrease AllowableDecrease $B$2 Product_1 0 −2 25 13 5 $B$3 Product_2 175 0 25 8 9 $B$4 Product_3 0 −1.5 25 11 3 Constraints Cell Name Final Value Shadow Price Constraint R.H.Side AllowableIncrease AllowableDecrease $H$9 Resource_A 0 0 100 1E+30 100 $H$10 Resource_B 525 0 800 1E+30 275 $H$11 Resource_C 700 1.75 700 366.6666667 700Chikana Company produces and sells rattan baskets. The number of drifts produced are the corresponding total production costs for six months, which are representatives for the year, are as follows: Month Units Produced Production Costs P 4,000 8,000 6,000 7,500 8,500 7,250 April Мay 500 700 June 900 July August September 600 800 550 Required: Solve for the variable and fixed cost component using: a.) High- Low Method b.) Least- Squares Regression(1) When chef Paolo prices his speciality ‘pizza-n-all’ meal at £25, he sells 20 meals a day. When he prices his pizza meal at £22, he sells 21 meals a day. Suppose Paolo reduces his price from £25 to £22. Explain the impact of the price reduction on the revenue he receives from the first 20 meals he sells. Total Revenue – Price X Quantity. Revenue @ £25 = £25 X 20 = £500. Revenue @ £22 = £25 X 20 = £440 The impact of the price reduction is a reduction in total revenue of £60 (-12%) over the first 20 meals that he sells. Calculate the additional revenue generated from the additional meals he sells when he lowers his price to £22. Total Revenue = Price X Quantity. Total Revenue @ £22 = £22 X 21 = £462. Additional Revenue = Revenue @ £25 – revenue @ £22 = £500 - £462 = -£38. Calculate the marginal revenue Paolo receives from the 21st meal. How does that amount relate to the amounts you calculated in (a) and (b)? (3%) Suppose Paolo reduces his price from £25 to £22. Explain…
- 48. Consider the following break-even problem: the cost of producing Q units, c(Q), is described by the curve c(Q) = 48Q[1 – exp(-.08Q)], where Q is in hundreds of units of items produced and c(Q) is in thousands of dollars. a. Graph the function c(Q). What is its shape? What economic phenomenon gives rise to a cumulative cost curve of this shape? b. At what production level does the cumulative production cost equal $1,000,000? c. Suppose that these units can be purchased from an outside supplier at a cost of $800 each, but the firm must invest $850,000 to build a facility that would be able to produce these units at a cost c(Q). At what cumulative volume of production does it make sense to invest in the facility?Problem 7-19 eBook Given the linear program Max 3A +48 s.t. Y -1A+ 1A + 2A + s.t. 28 ≤ 8 2B ≤ 12 18 ≤ 16 Α, Β 2 0 a. Write the problem in standard form. For those boxes in which you must enter subtractive or negative numbers use a minus sign. (Example: -300) Al+ A+ A+C A+ B+ B B+ B B b. Select the correct graph that shows the optimal solution for the problem. S1 S1 + + S₂ + S2 + S3 53 A, B, S1, S2, S3 A Q☆Aa6. please solve with formulas not excell