Write the constraint below as a linear inequality. A canoe requires 6 hours of fabrication and a rowboat 5 hours. The fabrication department has at least 119 hours labor available each week. Let x be the number of canoes and let y be the number of rowboats. Choose the inequality that represents the given constraint. A. 6x + 5y > 119 B. 5x+6y≤ 119 C. 6x + 5y ≤ 119 D. 5x+6y > 119
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- SanaMolp management reports that its average delivery cycle time is 20.0 days; its average throughput time is 7.5 days; its manufacturing cycle efficiency is 0.32; its average move time is 0.2 day; and its average queue time is 4.0 days: a. What is the wait time? b. What is the process time? c. What is the inspection time? Answer with solution plsPatagania Company reports that its average delivery cycle time is 20.0 days; its average throughput time is 7.5 days; its manufacturing cycle efficiency is 0.32; its average move time is 0.2 day; and its average queue time is 4.0 days: a. What is the wait time? b. What is the process time? c. What is the inspection time? Answer with complete set solution plsSuppose that the total cost of manufacturing x units of a metal straws is C(x) = 2x² + 6x + 12. Using the linear approximation p(x) of C(x) about x = 20, approximate the cost of manufacturing 21 units of metal straws. Compare this with the exact cost of manufacturing 21 units of metal straws. Using the same p(x) about x = 20, approximate the cost of manufacturing 22 units of metal straws and compare this with the exact cost. What do you observe about approximations p(21) and p(22) relative to C(21) and C(22), respectively?
- Please explain each anwer with formula. Regarding the following information, how many machines would be needed to handle the required volume? Processing time per unit (minute) product demand A B C 1 16000 3 4 2 2 12000 4 4 3 3 6000 5 6 4 4 30000 2 2 1 In order to meet annual demand for all products, how many machines in each type are needed? Based on fixed annual cost (Alternative A with $40,000, B with $30,000 and C with $80,000), which type of machine and how many will cost least to satisfy the demand? Consider the operation of machines 10 hours per day and 200 days a year.(Chapter 4: Process Improvement) Consider a process consisting of three resources. Assume the demand rate is 8 units/hour. The process activities are always performed in the following sequence. Resource 1 has a processing time of 5 minutes per unit. Resource 2 has a processing time of 4 minutes per unit. Resource 3 has a processing time of 6 minutes per unit. Resource 1 is staffed by worker A and A's wage rate is $13 per hour. Resource 2 is staffed by worker B and B's wage rate is $13 per hour. Resource 3 is staffed by worker C and C's wage rate is $20 per hour. If one additional worker could be hired, to which resource should this worker be assigned? Calculate the new process capacity in units/hr. O Assign the new worker to Resource 3. The process capacity is 12 units per hour. O Assign the new worker to Resource 3. The process capacity is 10 units per hour. O Assign the new worker to Resource 1. The process capacity is 20 units per hour. O Assign the new worker to Resource 2. The…Let S represent the amount of steel produced (in tons). Steel production is related to the amount of labor used (L) and the amount of capital used (C) by the following function: S=20L0.30C0.70. In this formula L represents the units of labor input and C the units of capital input. Each unit of labor costs 50, and each unit of capital costs 100. a. Formulate an optimization problem that will determine how much labor and capital are needed to produce 50,000 tons of steel at minimum cost. b. Solve the optimization problem you formulated in part (a). (Hint: When using Excel Solver, start with an initial L 0 and C 0.)
- A machine is used to produce two interchangeable products. The daily capacity of the machine can produce at most 20 units of Product 1 and 10 units of Product 2. Alternatively, the machine can be adjusted to produce at most 12 units of Product 1 and 25 units of Product 2 daily. Market analysis shows the maximum daily demand for the two products combined is 35 units. Given that the unit profits for the two respective products are $10 and $12, formulate the Integer Linear Programming model to maximize the Total Profit.Given the following information: Order quantity = 300; σdLT= 20 units; desired lead time service level = .86. Find the expected number of units short per cycle. Find the annual service level.Choose the correct letter of answer Assuming that the company’s monthly demand is 10,000 units of Product x and y, which mathematical model is appropriate to express such a constraint? a. x + y ≤ 10,000b. x + y ≥ 10,000c. x - y = 10,000 d. none of the above
- Tom uses his computer to calculate the following regression formula:Weekly total costs = $18,791 + ($19.97 * Number of orders per week) Draw the regression line on your graph. Use your graph to evaluate the regression line using the criteria of economic plausibility, goodness of fit, and significance of the independent variable. Is the cost function estimated using the high-low method a close approximation of the cost function estimated using the regression method? Explain briefly.A manager must decide how many machines of a certain type to purchase. Each machine can process 100 customers per day. One machine will result in a fixed cost of $2,100 per day, while two machines will result in a fixed cost of $3,700 per day. Variable costs will be $16 per customer, and revenue will be $45 per customer. a. Determine the break-even point for each range. (Round your answers to the next whole number.) One machine Two machines b. If estimated demand is 90 to 120 customers per day, how many machines should be purchased?The assembly-line activities are given as follows for the manufacturing of a product: Performance Time (mins) Performance Time (mins) 6 4 5 3 Task A B с D Predecessors A B B Task E F G H 524 2 Predecessors C с D, E, F G For a given 7-minute cycle time after allowances, the theoretical minimum number of workstations = (round your response to the immediate higher whole number).