An engine health monitoring system consists of a primary unit and a standby unit. The MTTF of the primary unit is 1000 operating hours and the MTTF of the standby unit is 333 hours when in operation. There are no failures while the backup unit is in standby. If the primary unit may be repaired at a repair rate of 0.01 per hour, while the standby unit is operating, estimate the design life for a reliahility of 0 00
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- A manufacturing company had won a contract to supply 109200 units of a product to a customer.The production planing and control department of the company has estimated the production in the first week to be 8,000 units,but that by recruiting and training some extra staff,output will rise by 200 units each week . a. When would the company be able to complete the contract. B.If the recruitment of staff does not go as well as expected so that after six weeks ,weekly production remains constant at the level achieved in the sixth week.how long would it take to complete the contractThe time to first failure X of the software of a medical linear acceleratormay be modeled normal with μ = 1100 hours and σ = 50 hours.A manufacturing firm, Caleb Corp, produces and sells product in its home (US) market, and in a foreign market. There is inherent risk in the revenues collected from the foreign market due to volatility in the exchange rate. Under a benchmark strategy, all of the production takes place in the home country. The resulting expected profits for Caleb Corp are variable, due to variation in the exchange rate. As an approximation, the firm has estimated profits for five possible ranges of the exchange rate, with profit represented as a lottery, L= (.2, 150; .2, 200; .3, 220; .2,250; .1, 270) The probabilities are estimated probabilities for the different ranges. The outcomes in this lottery are the estimated final profit levels (not changes in profit). (a) Calculate the expected profit if the firm follows this benchmark strategy, i.e., E(L)
- A manufacturing firm, Caleb Corp, produces and sells product in its home (US) market, and in a foreign market. There is inherent risk in the revenues collected from the foreign market due to volatility in the exchange rate. Under a benchmark strategy, all of the production takes place in the home country. The resulting expected profits for Caleb Corp are variable, due to variation in the exchange rate. As an approximation, the firm has estimated profits for five possible ranges of the exchange rate, with profit represented as a lottery, L= (.2, 150; .2, 200; .3, 220; .2,250; .1, 270) The probabilities are estimated probabilities for the different ranges. The outcomes in this lottery are the estimated final profit levels (not changes in profit). Now suppose the firm can also buy forward contracts on foreign currency to neutralize the effect of the exchange rate on profits. Assume that these provide complete hedging, but that it involves an additional cost, so that following the…find the critical valueTen years ago, the town of Easton decided to increase its annual spending on education so that its high school graduates would be able to earn higher wages. Now Easton has asked you to evaluate the effectiveness of the spending increase. Their data show that before the spending increase, the average annual salary of recent high school graduates was $25,000 and that now that average salary has risen to $28,500. Fortunately for your analysis, a neighboring community (Allentown) did not change its annual spending on education. Ten years ago, recent Allentown high school graduates earned an average of $22,500, and now that average is $23,750. (b) What underlying assumption do you have to make in order for your estimate to be valid? What might cause your underlying assumption to be invalid?
- Ten years ago, the town of Easton decided to increase its annual spending on education so that its high school graduates would be able to earn higher wages. Now Easton has asked you to evaluate the effectiveness of the spending increase. Their data show that before the spending increase, the average annual salary of recent high school graduates was $25,000 and that now that average salary has risen to $28,500. Fortunately for your analysis, a neighboring community (Allentown) did not change its annual spending on education. Ten years ago, recent Allentown high school graduates earned an average of $22,500, and now that average is $23,750. (a) Use a difference-in-differences estimator to determine whether Easton’s spending increase caused the wages of their high school graduates to increase. please provide an accurate answer.My colleagues have conducted an accelerated stability study on a new pharmaceutical protein formulation. They observed a degradation rate of 20% per week at 40°C and a rate of 4% per week at 35°C. What rate can be expected at 25°C?To facilitate rapid delivery, Samurai Van Logistic Company requires that all baggage must bein box-shaped with a sum of the length, width, and height not exceeding 120 inches. Whatare the dimensions and volume of a square-based box with the greatest volume underthese conditions?
- Jarrid Medical, Inc., is developing a compact kidney dialysis machine, but its chief engineer,Mike Crowe, is having trouble controlling the variability of the rate at which fluid moves through the device. Medical standards require that the hourly flow be 4 liters, plus or minus0.1 liter, 80 percent of the time. Mr. Crowe, in testing the prototype, has found that 68percent of the time, the hourly flow is within 0.08 liter of 4.02 liters. Does the prototype satisfythe medical standards?Airphone, Inc., manufactures cellular telephones at a pro-cessing cost of $47 per unit. The company produces an average of 250 phones per week and has a yield of 87%good-quality phones, resulting in 13% defective phones,all of which can be reworked. The cost of reworking adefective telephone is $16.a. Compute the quality-productivity ratio (QPR).b. Compute the QPR if the company increased theproduction rate to 320 phones per week while reducingthe processing cost to $42, reducing the rework cost to$12, and increasing the product yield of good-qualitytelephones to 94%.suppose Zenos Manufacturing is contemplating investing in a new business. An existing company in the target industry has an equity beta of 0.90 but is very conservatively financed with a market value, equity-to-value ratio 95%. Zenos intends to use an equity-to-value ratio of 30%. What beta should Zeno use in estimating a cost of capital in the new business?