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Exercise 10. A chemical manufacturer produces three chemicals: A, B and C. These chemical are produced by two processes: 1 and 2. Running process 1 for 1 hour costs $4 and yields 3 units of chemical A, 1 unit of chemical B and 1 unit of chemical C. Running process 2 for 1 hour costs $1 and produces 1 units of chemical A, and 1 unit of chemical B (but none of Chemical C). To meet customer demand, at least 10 units of chemical A, 5 units of chemical B and 3 units of chemical C must be produced daily. Assume that the chemical manufacturer wants to minimize the cost of production. Develop a linear programming problem describing the constraints and objectives of the chemical manufacturer. [Hint: Let x
1 be the amount of time Process 1 is executed and let x
2be amount of time Process 2 is executed. Use the coecients above to express the cost of running Process 1 for x
1 time and Process 2 for x 2 time. Do the same to compute the amount of chemicals A, B, and C that are produced.]
Suppose that 98% of your customers in your market have internet access and you select a random sample of 500 customers. What is the standard error of the proportion of customers who don't have internet access.
Mary works due north of home. Her husband Ben works due east. They leave at the same time, Mary is 5 miles from home, the distance between them is 1 mile more than Ben's distance from home. How far from home is Ben?
ow large a sample must be selected if he wants to be 99 percent confident of finding whether the true mean differs from the sample mean by 2.5 hours?
write the English phrase as an algebraic expression. A number decreased by the sum of the number and eight.
solve the following by factoring x26x80.solve the following by using the quadratic equation 5w2-30present your final
A pendulum swings through an angle of 20° each second. If the pendulum is 55 inches long, how far does its tip move each second? If necessary, round the answer to two decimal places.
describe the z and t tests for comparing differences between means. explain what is needed to perform each test the
Conditional Probability: Ball Colour, An urn contains four coloured balls: two orange and two blue. Two balls are selected at random without replacement, and you are told that at least one of them is orange.
Find the perimeter of the rectangle - the perimeter and then evaluate the perimeter polynomial If x is 4 feet.
a sample of single persons receiving social security payments revealed these monthly benefits: $926, $799, $1187, $1088, $1065, $980, $939, and $1065. Compute the median, mean and mode for these payments.
Find the probability that all units in the ten unit sample will test satisfactory.
If the tickets are not replaced after each draw, what is the probability of winning the new car?
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