Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From samples sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day Mean (mm) Range (mm)
1 156.9 4.2
2 153.2 4.6
3 153.6 4.1
4 155.5 5.0
5 156.6 4.5
a. What is the value of ˉˉx?
b. What is the value of ˉR?
c. What are the UCL ¯x and LCL ¯xusing 3σ? Plot the data.
d. What are the UCLR and LCLR using 3σ? Plot the data.
e. If the true diameter's mean should be 155 mm and you want this as your center (nominal) line, what are the new UCL ¯x and LCL ¯x ?

Lo.2, 3, 9 lori, who is single, purchased 5-years class property for $200,00 and 7-years class property for $420,000 on may 20, 2018. lori experts the taxable income derived form the business (without regard to the amount expensed under ⧠179) to be about $550,000. lori has determined that she should elect immediate ⧠179 expensing in the amount of $520,000, but she doesn’t know which asset she should completely expense under ⧠179. she does not claim any available additional first-year depreciation. a. determine lori’s total cost recovery deduction if the ⧠179 expense is first taken with respect to the 5-year class asset. b. determine lori’s total cost recovery deduction if the ⧠179 expense is first taken with respect to the 7-year class asset. c. what is your advice for lori? d. assume that lori is in the 24% marginal tax bracket and that she uses ⧠179 on the 7-year asset. determine the present value of the tax savings from the depreciation deductions for both assets. see appendix g for present value factors, and assume a 6% discount rate. e. assume the same facts as in part (d), except that lori decides not to use ⧠179 on either asset. determine the present value of the tax savings under this choice. in addition, determine which option lori should choose. f. present your solution to parts (d) and (e) of the problem in a spreadsheet using appropriate microsoft excel formulas. e-mail your spreadsheet to your instructor with a two-paragraph summary of your findings.

Galwaysc electronics makes two products. model a requires component a and component c. model b requires component b and component c. new versions of both models are released each year with updated versions of all components. all components are sourced overseas, and abc contracts annually for a quantity of each component before seeing that year’s demand. components are only assembled into finished products once demand for each model is known. for the coming year, alwaysc’s purchasing manner has proposed ordering 500,000 units of component a, 630,000 of component b, and 1,000,000 units of component c. her boss has asked why she has recommended purchasing so much of components a and b when alwaysc will not have enough of component c to fully use all of the inventory of a and b. what factors might the purchasing manager cite to explain her recommended order? explain your reasoning.

You operate a small advertising agency. you employ two secretaries, a graphic designer, three sales representatives, and an office coordinator. 1. what types of things would you consider when determining how to compensate each position? describe two (2) considerations. 2. what type of compensation plan would you use for each position?