A food is manufactured by refining raw oils and blending them together. The raw oils come in two categories; Vegetable oils (VEG1 and VEG2), and Non-vegetable oils (OIL1, OIL2, and OIL3). Vegetable oils and non-vegetable oils require different production lines for refining. In any month it is not possible to refine more than 200 tons of vegetable and no more than 250 tons of non-vegetable oils. There is no loss of weights in the refining process and the cost of refining may be ignored. There is a technical restriction of hardness in the final product. In the units in which hardness is measured this must lie between 3 and 6. It is assumed that hardness blends linearly. The costs (per ton) and hardness of the raw oils are: VEG1 VEG2 OIL1 OIL2 OIL3 Cost ($) 110 120 130 110 115 Hardness 8.8 6.1 2.0 4.2 5.0 The final product sells for $150 per ton. Formulate this problem as a linear programming model to determine how much to make of each product so as to maximize their net profit.

Suppose general motors demands labor according to the labor demand function 푤푤= 40−0. 5퐸퐸, where 푤푤 is the hourly wage and 퐸퐸 is the number of employees. the united auto workers union has a utility function given by 푈푈=푊푊∗퐸퐸. a.in 1984, the united auto workers union started negotiations with general motors by assuming that they were a monopoly union. find the wage and employment demands that the united auto workers union would have demanded before any bargaining began. b.if general motors and the united auto workers union both had excellent bargaining representatives, would this be the final labor contract? if not, then explain in words and graphically where they would end up after the bargaining process.

What is an example of a good stock to buy in a recession? a) cyclical stock b) defensive stock c) income stock d) bond

An employer who is considering hiring eva has asked donna, eva’s former supervisor, for a report on eva. in truth, eva’s work for donna has been only average. however, eva is donna’s friend, and donna knows that eva probably will not get the job if she says anything negative about eva, and donna knows that eva desperately needs the job. further, donna knows that if the situation were reversed, she would not want eva to mention her deficiencies. nevertheless, it has been donna’s policy to reveal the deficiencies of employees when she has been asked for references by employers, and she knows that some of eva’s faults may be bothersome to this particular employer. finally, this employer has leveled with donna in the past when donna has asked for a report on people who have worked for him. should donna reveal deficiencies in eva’s past performance? (remember to use one of the three moral theories acceptable for this test to solve this dilemma. any discussion of any personal opinion, religious perspective, or theory other than the moral theories acceptable for this test will result in a score of "0" for this question.)