Consider two jobs, job 1 and job 2, to be processed on a single machine. it takes 7 days to process job 1, whereas the processing time of job 2 is 4 days. if the production is switched from ob 1 to job 2, then the set-up takes 2 days. on the other hand, if the production is switched from ob 2 to job 1, the set-up time reduces to 1 day. the processing of the jobs cannot start before the beginning of day 3 and both jobs are due at the beginning of day 20. let x1 and x2 be two integer variables representing the start date in days for job 1 and job2 4- two jobs will not be processed concurrently: if job 1 precedes job 2, then the start date of job 2 must be greater than or equal to start date of ob 1 plus the processing of job 1 and the set-up time if job 2 precedes job 1, then the start date of job 1 must be greater than or equal to start date of job 2 plus the processing of job 2 and the set-up time use indicator variable(s) representing the order of processing and mathematically formulate the constraint(s) that are verbally written above using indicator variable(s) and big m(s). calculate the minimum value of m that would work. (hint: what are the ranges for x1 and x2? )

Consider a small island country whose only industry is weaving. the following table shows information about the small economy in two different years. complete the table by calculating physical capital per worker as well as labor productivity. hint: recall that productivity is defined as the amount of goods and services a worker can produce per hour. in this problem, measure productivity as the quantity of goods per hour of labor. year physical capital labor force physical capital per worker labor hours output labor productivity (looms) (workers) (looms) (hours) (garments) (garments per hour of labor) 2024 160 40 1,800 14,400 2025 180 60 3,900 23,400

Benton company (bc), a calendar year entity, has one owner, who is in the 37% federal income tax bracket (any net capital gains or dividends would be taxed at a 20% rate). bc's gross income is $395,000, and its ordinary trade or business deductions are $245,000. ignore the standard deduction (or itemized deductions) and the deduction for qualified business income. if required, round computations to the nearest dollar. a. bc is operated as a proprietorship, and the owner withdraws $100,000 for personal use. bc's taxable income for the current year is $ , and the tax liability associated with the income from the sole proprietorship is $ . b. bc is operated as a c corporation, pays out $100,000 as salary, and pays no dividends to its shareholder. bc's taxable income for the current year is $ , and bc's tax liability is $ . the shareholder's tax liability is $ . c. bc is operated as a c corporation and pays out no salary or dividends to its shareholder. bc's taxable income for the current year is $ , and bc's tax liability is $ . d. bc is operated as a c corporation, pays out $100,000 as salary, and pays out the remainder of its earnings as dividends. bc's taxable income for the current year is $ , and bc's tax liability is $ .

Pennewell publishing inc. (pp) is a zero growth company. it currently has zero debt and its earnings before interest and taxes (ebit) are $80,000. pp's current cost of equity is 10%, and its tax rate is 40%. the firm has 10,000 shares of common stock outstanding selling at a price per share of $48.00. refer to the data for pennewell publishing inc. (pp). pp is considering changing its capital structure to one with 30% debt and 70% equity, based on market values. the debt would have an interest rate of 8%. the new funds would be used to repurchase stock. it is estimated that the increase in risk resulting from the added leverage would cause the required rate of return on equity to rise to 12%. if this plan were carried out, what would be pp's new value of operations? a. $484,359 b. $521,173 c. $584,653 d. $560,748 e. $487,805