A post office requires different numbers of full-time employees on different days of the week. The number of full-time employees required on each day is given in Table 4. Union rules state that each full-time employee must work five consecutive days and then receive two days off. For example, an employee who works Monday to Friday must be off Saturday and Sunday. The post office wants to meet its daily requirements using only full-time employees. Formulate an LP that the post office can use to minimize the number of full-time employees who must be hired. Table 4 – Requirements for Post OfficeDay Number of Full-time Employees Required1 = Monday 172 = Tuesday 133 = Wednesday 154 = Thursday 195 = Friday 146 = Saturday 167 = Sunday 11

Every 10 years, the federal government sponsors a national survey of health and health practices (nhanes). one question in the survey asks participants to rate their overall health using a 5-point rating scale. what is the scale of measurement used for this question? ratio ordinal interval nominal

Suppose that xtel currently is selling at $40 per share. you buy 500 shares using $15,000 of your own money, borrowing the remainder of the purchase price from your broker. the rate on the margin loan is 8%. a. what is the percentage increase in the net worth of your brokerage account if the price of xtel immediately changes to (a) $44; (b) $40; (c) $36? (leave no cells blank - be certain to enter "0" wherever required. negative values should be indicated by a minus sign. round your answers to 2 decimal places.) b. if the maintenance margin is 25%, how low can xtel’s price fall before you get a margin call? (round your answer to 2 decimal places.) c. how would your answer to requirement 2 would change if you had financed the initial purchase with only $10,000 of your own money? (round your answer to 2 decimal places.) d. what is the rate of return on your margined position (assuming again that you invest $15,000 of your own money) if xtel is selling after one year at (a) $44; (b) $40; (c) $36? (negative values should be indicated by a minus sign. round your answers to 2 decimal places.) e. continue to assume that a year has passed. how low can xtel’s price fall before you get a margin call? (round your answer to 2 decimal places.)

When a company produces and sells x thousand units per week, its total weekly profit is p thousand dollars, where upper p equals startfraction 800 x over 100 plus x squared endfraction . the production level at t weeks from the present is x equals 4 plus 2 t. find the marginal profit, startfraction dp over dx endfraction and the time rate of change of profit, startfraction dp over dt endfraction . how fast (with respect of time) are profits changing when tequals8?