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- 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)…Define the term PW Analysis?Sally Statistics is implementing a system of statistical process control (SPC) charts in her factory in an effort to reduce the overall cost of scrapped product. The current cost of scrap is $X per month. If a 75% learning curve is expected in the use of the SPC charts to reduce the cost of scrap, what would the percentage reduction in monthly scrap cost be after the charts have been used for 6 months? (Hint: Model each month as a unit of production.)
- 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…FCR and Average daily gain are measured in a continuous scale. true or falseThe cumulative learning curve coefficient CLCC(20, 0.8) is defined as follows:a. the cost to produce 20 units in a process with c(1) = 1 and a learning rate of 0.8.b. the cost to produce one unit in a process with c(1) = 20 and a learning rate of 0.8.c. the cost to produce one unit in a process with c(1) = 1 and a learning rate of 0.820.d. the cost to produce the 20th unit in a process with c(1) = 1 and a learning rateof 0.8.
- A company has determine the price and the monthly demand of its products are related by the equation D= √400-p where p is the price per unit in dollar and D is the monthly demand. The associated fixed costs are $1,125 per month and the variable costs are $100/unit. Use this information to answer the following: What is the optimal number of units that should be produced and sold each month? Determine the value of D that represents the break-even point?The following information was gathered by the managerial accountant to estimate the 2nd quarter's utility cost: Months Utility Cost Direct labor hours January ₱8,520 1809 February ₱7,628 1421 March ₱5,712 912 April ₱6,746 1102 Summation of X 5,244 Summation of Y 28,606 Summation of XY 38,895,504 Summation of X-squared 7,337,870 Using the regression analysis, what is the estimated cost-function for the 2nd quarter?A company has invested in an online tool that is expected to generate a continuous revenue at a rate that increases 252 thousand TLs per time period t (t= 0 is when the tool begins to function). A continous promotion cost (in thousand TLs) function for 578 time periods, C(t), is also derived for the machine, C(t) = -t2 + 578t. Find out when the tool starts to generate profit? (Ignore the range of the cost function.
- At the beginning of the year, managers at King Industries estimated $420000 in manufacturing overhead, 20000 direct labor hours and 50000 machine hours. Actual manufacturing costs at the end of the year were $425000 in manufacturing overhead. During the year, 22000 direct labor hours and 47000 machine hours were incurred. If overhead is applied based on direct labor hours, what is the predetermined overhead rate for the coming year? $21.00 per direct labor hour $8.40 per direct labor hour $19.09 per direct labor hour $9.04 per direct labor hourLeast Squaes Regression Below is the production cost of Company B. In the future the company management intends to produce the following number of units: A. 56,500 B. 75,000 Determine the Total Cost of producing A and B based on the historical data below.The demand function for Newton’s Donuts has been estimated as follows:Qx = -14 – 54Px + 45Py + 0.62Ax where Qx represents thousands of donuts; Px is the price per donut; Py is the average price per donut of other brands of donuts; and Ax represents thousands of dollars spent on advertising Newton’s Donuts. The current values of the independent variables are Ax=120, Px=0.95, and Py=0.64.Show all of your calculations and processes. Describe your answer for each question in complete sentences, whenever it is necessary. Calculate the price elasticity of demand for Newton’s Donuts and describe what it means. Describe your answer and show your calculations. Derive an expression for the inverse demand curve for Newton’s Donuts. Describe your answer and show your calculations. If the cost of producing Newton’s Donuts is constant at $0.15 per donut, should they reduce the price and thereafter, sell more donuts (assuming profit maximization is the company’s goal)? Should Newton’s Donuts spend…
