A street artist paints caricature and scenery. The profit on a scenery is $30, and the profit on caricatures is $15. How many of each painting should he do to maximum profit? He paints 5 caricatures each week but cannot paint more than 125. He must paint 10 scenery each week and cannot point to more than 75. To keep the business open he must paint at least 50 paintings. If the caricatures take 3oz of paint and the scenery takes 10oz and he only has 900 oz of paint. It takes him 1 hour to paint 2 scenic paintings, 1 hour to paint 5 caricatures and he has 50 hours a week to work.

Acell phone company offers two plans to its subscribers. at the time new subscribers sign up, they are asked to provide some demographic information. the mean yearly income for a sample of 40 subscribers to plan a is $45,000 with a standard deviation of $9,200. for a sample of 25 subscribers to plan b, the mean income is $64,300 with a standard deviation of $7,100. at the 0.025 significance level, is it reasonable to conclude the mean income of those selecting plan b is larger? assume unequal population standard deviations. hint: for the calculations, assume the plan a as the first sample. what is the decision rule? (negative amount should be indicated by a minus sign. round your answer to 3 decimal places.) compute the value of the test statistic. (negative amount should be indicated by a minus sign. round your answer to 2 decimal places.) what is your decision regarding h0 ? reject h0 fail to reject h0 compute the p-value. less than 0.01 between 0.01 and 0.025 between 0.025 and 0.05 between 0.05 and 0.10 greater than 0.10