A company produces three products: A, B and C. Each product requires two raw materials; steel and aluminum. The following LP model describes the company’s product mix problem x1, x2, and x3 represent the number of units of product A, B and C respectively

Max Z = 30x1 + 10x2 + 50x3

Subject to

6 x1+ 3 x2 + 5 x3 ≤ 450 (steel)

3 x1 + 4 x2+ 5 x3 ≤ 300 (alumimium), X1, x2, x3 ≥ 0

Identify the two production methods that optimize the company’s profit (hint: Use simplex method)​

Straight arrow unloaded two tankers worth of toxic waste at an important port in the country of urithmea. a hundred workers worked two days in their shorts and sandals to unload the barrels from the tankers for $5 a day. they were not told about the content of the barrels. some observers felt that it was the obligation of not just the government of urithmea but also of straight arrow to ensure that no harm was done to the workers. these observers are most likely

Acompany is developing a new high­performance wax for cross country ski racing. in order to justify the price marketingwants, the wax needs to be very fast. specifically, the mean time to finish their standard test course should be less thanseconds for a former olympic champion. to test it, the champion will ski the course 8 times. the champion's times(selected at random) are 59.9 61.9 48.8 52.2 46.6 45.3 50.6 and 41.1 seconds to complete the test course. complete parts a and b below.a) should they market the wax? assume the assumptions and conditions for appropriate hypothesis testing are metfor the sample.assume=0.05. what are the null and alternative hypotheses? choose the correct answer below.b) suppose they decide not to market the wax after the test, but it turns out that the wax really does lower the champion'saverage time to less thanseconds. what kind of error have they made? explain the impact to the company of such anerror.

Bond j has a coupon rate of 6 percent and bond k has a coupon rate of 12 percent. both bonds have 14 years to maturity, make semiannual payments, and have a ytm of 9 percent. a. if interest rates suddenly rise by 2 percent, what is the percentage price change of these bonds?