The following standards have been established for a raw material used to make product o84: standard quantity of the material per unit of output 7.5 meters standard price of the material $ 18.70 per meter the following data pertain to a recent month's operations: actual material purchased 3,800 meters actual cost of material purchased $ 74,480 actual material used in production 3,500 meters actual output 540 units of product o84 the direct materials purchases variance is computed when the materials are purchased. required: a. what is the materials price variance for the month? b. what is the materials quantity variance for the month?

Rate of return, standard deviation, coefficient of variation personal finance problem mike is searching for a stock to include in his current stock portfolio. he is interested in hi-tech inc.; he has been impressed with the company's computer products and believes hi-tech is an innovative market player. however, mike realizes that any time you consider a technology stock, risk is a major concern. the rule he follows is to include only securities with a coefficient of variation of returns below 1.07. mike has obtained the following price information for the period 2015 through 2018:hi-tech stock, being growth-oriented, did not pay any dividends during these 4 years. a. calculate the rate of return for each year, 2015 through 2018, for hi-tech stock. b. assume that each year's return is equally probable and calculate the average return over this time period. c. calculate the standard deviation of returns over the past 4 years. (hint: treat this data as a sample.) d. based on b and c determine the coefficient of variation of returns for the security. e. given the calculation in d what should be mike's decision regarding the inclusion of hi-tech stock in his portfolio?