In a complex assembly operation, it is found that the learning curve rate is 85%. The standard time of 4 minutes per assembly is reached after the 80th. Find the time required for the very first unit.
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- The cumulative average labor hours to assemble the first five units of product A were 15.882 hours. If the learning curve, based on the previous experience with similar products, is 85%, what is the estimated time (labor hours) that will be required to assemble the 20th unit?In an order fulfillment facility, the shipping lead time is estimated to be 3-5 days from receiving orders. 1000 similar orders are placed at the beginning of a week. If 885 orders are shipped successfully, 50 orders are shipped but returned for addresses problems and the remaining are delayed, what is the order fulfillment rate of this facility?When the variable cost is reduced for linear total cost and revenue lines, the breakeven point decreases. This is an economic advantage because:a. the revenue per unit will increase.b. the two lines will now cross at zero. c. the profit will increase for the same revenue per unit.d. the total cost line becomes nonlinear.
- How many books will a publisher have to sell to breakeven if fixed costs are $100,000, the selling price perbook is $60, and the variable costs per book are $40?A bicycle component manufacturer produces hubs for bike wheels. Two processes are possible for manufacturing, and the parameters of each process are as follows: Assume that the daily demand for hubs allows all defect-free items to be sold. Additionally, defective hubs cannot be sold and their material cannot be recovered anymore. Find the process that minimizes the total cost per piece if each part is made from $4 worth of material. Both processes are fully automated, and the variable overhead cost is charges at $40 per hour.The cost of a 68 m2 falling-film evaporator was 1.65 times the cost of the 30 m2 unit. What exponent value in the cost-capacity equation yielded this result?
- Find the average time per unit required to produce the first 30 units, if the slope parameter of the learning rate is 92% and the first unit takes 460 hours.(a) 330.693 (b) 305.5404 (c) 245 (d) 347.3211The cost of producing a small transistor radio set consists of ₱23.00 for labor and ₱37.00 for materials. The fixed charges in operating the plant are ₱100,000 per month. The variable cost is ₱1.00 per set. The radio set can be sold for ₱75.00 each. Determine how many sets must be produced per year to break-evenIf you know that with 10 units of output, average fixed cost is OMR 22.50 per unit and average variable cost is OMR 51.25 per unit, then average cost of each unit is: a. OMR 73.75. b. OMR 225. c. OMR 512. d. OMR 28.75.
- A rotational molding operation has fixed costs of $10,000 per year and variable costs of $50 per unit. If the process is automated via conveyor, its fixed cost will be $22,800 per year but its variable cost will be only $10 per unit. Determine the number of units each year necessary for the two operations to break evenIf the cost of an imported high-speed assemblyline robot is $80,000 and the in-country cost for one with twice the capacity is $120,000, the value of the exponent in the cost-capacity equation is closest to: (a) 0.51 (b) 0.58 (c) 0.62 (d) 0.69A high pressure (1000 psi) stainless steel pump with a variable frequency drive is installed in a seawater reverse osmosis pilot plant that is recoveringwater from membrane concentrate at a rate of 4 gallons per minute (gpm). The cost of the pump was $13,000. Because of favorable results from thepilot study, the water utility wants to go with a fullscale system that will produce 500 gpm. Estimate the cost of the larger pump, if the exponent in the cost-capacity equation has a value of 0.37.