An E-company produces two similar products, "Gadget" and "Widget". "Gadget" is made of 50 pounds of raw material A and 30 pounds of raw material B, while "Widget" is made of 40 pounds of material A and 20 pounds of material B. For this production period, the company has a supply of only 60,000 pounds of material A and 90,000 pounds of material B. The profit contributions are $5 and $3 per product, respectively, for "Gadget" and "Widget". Formulate the problem as a linear program in LINDO format to determine the number of each product to be produced to maximize total profit. Make sure that you define all decision variables precisely

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?