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- how close to -6 we have to take x so that 1/ (x+6)2 > 100 ??Find (A) f'(x), (B) the partition numbers for f', and (C) the critical numbers of f. 3 f(x) = x° - 27x - 5 (A) f'(x) =A strawberry growing company is deciding its production and sale plan for the national and international markets.The sale price for each ton of strawberry depends on the quantity offered in the market. If x1 tons is offered for the domestic market, the sale price will be (30 - x1) CU / ton, while if x2 tons is offered for the international market, the sale price will be (40 - x2) CU / ton.The cost for each ton of strawberry for the domestic market is 10 MUs, while for the international market it is 15 MUs.The company has the capacity to produce up to 10 tons of strawberries for sale and, according to SAG restrictions, it must dedicate at least 10% of its production to the international market.For technical production reasons, the company must additionally satisfy the following restriction: x12 + x22 ≤64.a) Raise the NLP model that allows maximizing the net profit for the companyb) State the KKT conditions for the problem and indicate whether they are necessary and / or sufficient.c)…
- A strawberry growing company is deciding its production and sale plan for the national and international markets.The sale price for each ton of strawberry depends on the quantity offered in the market. If x1 tons is offered for the domestic market, the sale price will be (30 - x1) CU / ton, while if x2 tons is offered for the international market, the sale price will be (40 - x2) CU / ton.The cost for each ton of strawberry for the domestic market is 10 MU, while for the international market it is 15 MU.The company has the capacity to produce up to 10 tons of strawberries for sale and according to SAG restrictions, it must dedicate at least 10% of production to the international market.For technical production reasons, the company must additionally satisfy the following restriction: x12 + x22 ≤64.d) There is the option of buying new machinery to increase the production capacity of the company. In what range should the new machine increase production capacity to suit the company? How…Only 3.22 P(z > 1.80) = a 0.9713 b 0.9641 c 0.0287 d 0.0359
- there is a reduced cost of minus 65 on ETV. I like to say this means if we made ETV = 1 when it was 0 in the optimal solution, then the exposure quality would fall by 65. Another interpretation (that I am not a big fan of, but perfectly acceptable) is if the objective function exposure quality of 90 changes by 65 ETV will not be 0. Should the 90 be 25 or 155?Find the p-value if Z < -.90, alpha = 0.05 (one-tail, lower tail)A company finds that it can sell out a certain product that it produces, at the rate of Tk. 2 per unit. 1 It estimates the cost function of the product to be Tk. 1000 + 2 50 for q units produced. (i) Find the expression for the total profit, if q units are produced and sold. (ii) Find the number of units produced that will maximize profit. (iii)What is the amount of this maximum profit? (iv) What would be the profit if 6000 units were produced?
- = 2. The cost of operating a jet-powered commercial (passenger- carrying) airplane varies as the three-halves (3/2) power of its velocity; specifically, Co kny3/2, where n is the trip length in miles, k is a constant of proportionality, and vis velocity in miles per hour. It is known that at 400 miles per hour, the average cost of operation is $300 per mile. The company that owns the aircraft wants to minimize the cost of operation, but that cost must be balanced against the cost of the passengers' time (CC), which has been set at $300,000 per hour. At what velocity should the trip be planned to minimize the total cost, which is the sum of the cost of operating the airplane and the cost of passengers' time?The equation p(x)= −40?^2 + 8000? − 250000 takes x, the number of items produced of a particular new consumer electronic device, and gives P, the profit generated for the manufacturer (in thousands of dollars). Determine the maximum profit.If actual sales are $50,000, variable cost is $15,000, and margin of safety is $20,000, the break even sales will be: