Questions from General Calculus


Q: Advertising for a certain product is terminated, and t weeks later

Advertising for a certain product is terminated, and t weeks later, the weekly sales are f (t) cases, where f (t) = 1000(t + 8)-1 - 4000(t + 8)-2. At what time is the weekly sales amount falling the f...

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Q: An open rectangular box of volume 400 cubic inches has a square

An open rectangular box of volume 400 cubic inches has a square base and a partition down the middle. See Fig. 10. Find the dimensions of the box for which the amount of material needed to construct t...

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Q: If f (x) is defined on the interval 0 ≤

If f (x) is defined on the interval 0 ≤ x ≤ 5 and f (x) is negative for all x, for what value of x will f (x) have its greatest value? Explain why.

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Q: A pizza box is formed from a 20-cm by 40

A pizza box is formed from a 20-cm by 40-cm rectangular piece of cardboard by cutting out six squares of equal size, three from each long side of the rectangle, and then folding the cardboard in the o...

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Q: Coffee consumption in the United States is greater on a per capita

Coffee consumption in the United States is greater on a per capita basis than anywhere else in the world. However, due to price fluctuations of coffee beans and worries over the health effects of caff...

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Q: Figure 6 shows the inventory levels of dried Rainier cherries at a

Figure 6 shows the inventory levels of dried Rainier cherries at a natural food store in Seattle and the order–reorder periods over 1 year. Refer to the figure to answer the followin...

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Q: Figure 2 contains the curves y = f (x) and

Figure 2 contains the curves y = f (x) and y = g(x) and the tangent line to y = f (x) at x = 1, with g(x) = 3 # f (x). Find g(1) and g’(1). Figure 2:

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Q: Refer to Fig. 6. Suppose that (i)

Refer to Fig. 6. Suppose that (i) the ordering cost for each delivery of dried cherries is $50, and (ii) it costs $7 to carry 1 pound of dried cherries in inventory for 1 year. (a) What is the invento...

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Q: A pharmacist wants to establish an optimal inventory policy for a new

A pharmacist wants to establish an optimal inventory policy for a new antibiotic that requires refrigeration in storage. The pharmacist expects to sell 800 packages of this antibiotic at a steady rate...

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Q: A furniture store expects to sell 640 sofas at a steady rate

A furniture store expects to sell 640 sofas at a steady rate next year. The manager of the store plans to order these sofas from the manufacturer by placing several orders of the same size spaced equa...

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