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Question: A store selling Mother's Day cards must decide 6 months in advance on the number of cards to stock. Reordering is not allowed. Cards cost $0.45 and sell for $1.25. Any .cards not sold by Mother's Day go on sale for $0.50 for 2 weeks. However, sales of the remaining cards is probabilistic in nature according to the following distribution: 32% of the time, all cards remaining get sold. 40% of the time, 80% of all cards remaining are sold. 28% of the time, 60% of all cards remaining are sold. Any cards left after 2 weeks are sold for $0.25. The card-shop owner is not sure how many cards can be sold, but thinks it is somewhere (i.e., uniformly distributed) between 200 and 400. Suppose that the card-shop owner decides to order 300 cards. Estimate the expected total profit with an error of at most $5.00.
Let X1 indicate the amount produced of product 1. Let X2 indicate the amount produced of product 2. Which of the following statements is true about this linear program?
Explain whether each statement is true or false. Please give short explanation why and if false, please give an example. The maximum of a function that is continuous on a closed interval can occur at two different values in the interval.
measure of each exterior angle of a regular polygon is 20 degrees, how many sides does the polygon have.
A soup bowl can be modeled as a solid of revolution formed by revolving the graph of y=(x/2)^0.5+1,0≤x≤4,about the x-axis. Use this model, where x and y are measured in inches, to find the volume of the soup bowl.
Explain what this expression means: (- 2, 3). You should have two answers. How will you know which of your answers is denoted, say, on an exam?
List the simple events associated with each experiment. DURABLE GOODS ORDERS Data concerning durable goods orders are obtained each month by an economist.
scores on a statewide standardized test are normally distributed with a mean of 12.89 and a standard deviation of 1.95.
A boat can travel 46 mph in still water. If it travels 270 miles with the current in the same length of time it travels 190 miles against the current, what is the speed of the current?
MODELING WITH DATA The revenues (in billions of dollars) from cable advertisement for the years 1995 through 2000 follow.
Prove: if f(x) = a2x^2 + a1x +a0 (a2 is not = 0), then the number c whose existence is guaranteed by the Mean Value Theorem occurs at the midpoint of the interval [a,b].
What is the length of side AC? (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth as needed.) What is the length of side CB?
a square quilt displayed at the colonial museum measured 425 cm. on each side. how much binding did the quilt maker use to bind the edges of the quilt?
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