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The Fido Dog Food Company wishes to introduce a new brand of dog biscuits (composed of chicken and liver-flavored biscuits) that meets certain nutritional requirements. The liver-flavored biscuits contain 1 unit of nutrient A and 2 units of nutrient B, while the chicken-flavored ones contain 1 unit of nutrient A and 4 units of nutrient B. According to federal requirements, there must be at least 40 units of nutrient A and 60 units of nutrient B in a package of the new mix. In addition, the company has decided that there can be no more than 15 liver-flavored biscuits in a package. If it costs 1 cent to make a liver-flavored biscuit and 2 cents to make a chicken-flavored one, what is the optimal product mix for a package of the biscuits in order to minimize the firm's cost?
(a) Formulate this as a linear programming problem.
(b) Find the optimal solution for this problem graphically
The number of shark attacks and deaths over a recent 5- year period is shown. Find the mean, median, mode, midrange, variance, and standard deviation for the date. Which data set is more valuable?
Describe how you would develop a random sample from among students.
Due to financial hardship, the Nyke shoe company feels they only need to make one size of shoes, regardless of gender or height. They have collected data on gender, shoe size, and height
Public transportation and the automobile are two methods an employee can use to get to work each day. Samples of times recorded for each method are shown. Times are in minutes.
36 values given here are based on summary statistics from research by cumming. Do you think that these data are normally distributed?
Draw the suitable 2x2 table, compute and interpret suitable measure of association.
For a new HDTV the mean number of months until repairs are needed is 36.84 with a standard deviation of 3.34 months.
Use the Internet or other resources to collect both primary and secondary data regarding the research issue, opportunity, or problem you selected for your Research Process Outline during Week Two.
Scores on the Math Achievement Test form a normal distribution with a mean of u = 300 and a standard deviation of a = 100. What score separates the top 10% of the distribution from the rest.
Suppose that the lives of all such bulbs have a normal distribution with a mean of 750 hours and a standard deviation of 55 hours. Let x (sample mean) be the mean life of range sample of 25 such bulbs.
Determine the probability of having more than 3 defects in a roll?
Find the probability that a random sample of 4 male Siberian tigers will have a sample mean weight more than 450 lb.
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