In the past, Alpha Corporation has not performed incoming quality control inspections but has taken the word of its vendors. However, Alpha has been having some unsatisfactory experience recently with the quality of purchased items and wants to set up sampling plans for the receiving department to use. For a particular component, X, Alpha has a lot of tolerance percentage defective of 10 percent. Zenon Corporation, from which Alpha purchases this component, has an acceptable quality level in its production facility of 3 percent for component X. Alpha has a consumer’s risk of 10 percent and Zenon has a producer’s risk of 5 percent.
a. When a shipment of product X is received from Zenon Corporation, what sample size should the receiving department test?
b. What is the allowable number of defects in order to accept the shipment?

Alpha industries is considering a project with an initial cost of $8 million. the project will produce cash inflows of $1.49 million per year for 8 years. the project has the same risk as the firm. the firm has a pretax cost of debt of 5.61 percent and a cost of equity of 11.27 percent. the debt–equity ratio is .60 and the tax rate is 35 percent. what is the net present value of the project?

Verizon communications, inc., provides the following footnote relating to its leasing activities in its 10-k report. the aggregate minimum rental commitments under noncancelable leases for the periods shown at december 31, 2010, are as follows: years (dollars in millions) capital leases operatingleases 2011 $97 $1,898 2012 74 1,720 2013 70 1,471 2014 54 1,255 2015 42 1,012 thereafter 81 5,277 total minimum 418 $ 12,633 rental commitments less interest and (86) executory costs present value of 332 minimum lease payments less current (75) installments long-term obligation $257 at december 31, 2010 (a) confirm that verizon capitalized its capital leases using a rate of 7.4 %. (b) compute the present value of verizon's operating leases, assuming an 7.4% discount rate and rounding the remaining lease term to 3 decimal places. (use a financial calculator or excel to compute. do not round until your final answers. round each answer to the nearest whole number.)

In each of the following, what happens to the unemployment rate? does the unemployment rate give an accurate impression of what’s happening in the labor market? a.esther lost her job and begins looking for a new one.b.sam, a steelworker who has been out of work since his mill closed last year, becomes discouraged and gives up looking for work.c.dan, the sole earner in his family of 5, just lost his $90,000 job as a research scientist. immediately, he takes a part-time job at starbucks until he can find another job in his field.