Borges Machine Shop, Inc., has a 1-year contract for the production of 75,000 gear housings for a new off-road vehicle. Owner Luis Borges hopes the contract will be extended and the volume increased next year. Borges has developed costs for three alternatives. They are general-purpose equipment (GPE), flexible manufacturing system (FMS), and expensive, but efficient, dedicated machine (DM). The cost data follow: Annual contracted units Annual fixed cost Per unit variable cost General-Purpose Equipment (GPE) 75,000 $100,000 $18.00 Flexible Manufacturing System (FMS) 75,000 $250,000 $14.50 Dedicated Machine (DM) 75,000 $500,000 $13.00
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- Question 1: pertains to the Cherokee School District scenario below. The school board for the Cherokee School District has made the decision to purchase 1370additional Macintosh computers for computer laboratories in all its schools. Based on the past experience, the school board has directed that these computers should be purchased from some combination of three companies Mc Comp, EduElectronics, and Macwin. In all three cases, the companies charge a discounted variable cost per computer and a fixed delivery and installation costs for these large sales to school districts. The table below shows these charges as well as the capacity (the maximum number of computers that can be sold from the limited inventory) for each of the companies.CapacityFixed cost variable costMcComp710 $45,000 $750 EduElectronics690$35,000$780 Macwin1000$50,000 $700 The school board wants to know the optimal plan for meeting its computer needs. 1.Identify the type of integer programming framework (Total Integer,…A coach is trying to choose the starting line-up for the basketball team. The team consists ofseven players who have been rated (on a scale of 1= poor to 3 = excellent) according to theirball-handling, shooting, rebounding, and defensive abilities. The positions that each playeris allowed to play (G = guard, C = center, F = forward) and the player’s abilities are:Player Position Defense Ability1 G 32 C 23 G-F 24 F-C 15 G-F 16 F-C 37 G-F 3Formulate an IP to choose the starting lineup such that the five-player starting line-up satisfiesthe following restrictions, then solve your IP using python (if you have not taken and are notcurrently taking python you may use the excel solver - be sure to document this in yourhomework submission). Submit your python file on canvas and include the optimal solutionin your written submission.(a)…Ishan and Hazel plan to retire at age 60 with a retirement income of $48,000 a year from their savings. Rather than pay themselves the whole amount at the beginning of each year, they have decided that payment at the beginning of each quarter of $12,000 gives them the right balance of flexibility and maximized interest earnings. They feel they can safely earn an interest rate of 6.5%, compounded quarterly, on their money and they are budgeting based on the prediction that they will live until they are 90 years old. Now that Ishan and Hazel have their saving goal calculated, and rounded up to the nearest dollar, they want to start budgeting to reach that goal. They are 40 years old currently, so they have just 20 years to save up the total they calculated they would require so that they can still reach their goal of retirement by age 60. If they assume the same interest rate, but compounded monthly, and make deposits into their savings at the beginning of every month, how much…
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