A utility function is homothetic if any straight line through the origin cuts all indifference curves at points of equal slope: The MRS depends on the ratio y/x.
Prove that if an individual’s tastes can be represented by a homothetic indifference map then price and quantity must move in opposite directions; that is, prove that Giffen’s paradox cannot occur.

Elephant, inc.'s cost of goods sold for the year is $2,000,000, and the average merchandise inventory for the year is $129,000. calculate the inventory turnover ratio of the company. (round your answer to two decimal places.)

Salty sensations snacks company manufactures three types of snack foods: tortilla chips, potato chips, and pretzels. the company has budgeted the following costs for the upcoming period: 1 factory depreciation $33,782.00 2 indirect labor 84,456.00 3 factory electricity 8,446.00 4 indirect materials 40,356.00 5 selling expenses 26,900.00 6 administrative expenses 17,200.00 7 total costs $211,140.00 factory overhead is allocated to the three products on the basis of processing hours. the products had the following production budget and processing hours per case: budgeted volume (cases) processing hours per case tortilla chips 3,600 0.25 potato chips 5,300 0.11 pretzels 2,300 0.49 total 11,200 required: a. determine the single plantwide factory overhead rate.* b. use the factory overhead rate in (a) to determine the amount of total and per-case factory overhead allocated to each of the three products under generally accepted accounting principles. refer to the amount descriptions list provided for the exact wording of the answer choices for text entries.* * if required, round your answers to the nearest cen

What is the key to success in integrating both lethal and nonlethal activities during planning? including stakeholders once a comprehensive operational approach has been determined knowing the commander's decision making processes and "touch points" including stakeholders from the very beginning of the design and planning process including the liaison officers (lnos) in all the decision points?