Questions from General Calculus

Q: A bookstore is attempting to determine the most economical order quantity for

A bookstore is attempting to determine the most economical order quantity for a popular book. The store sells 8000 copies of this book per year. The store figures that it costs $40 to process each new...

Q: A store manager wants to establish an optimal inventory policy for an

A store manager wants to establish an optimal inventory policy for an item. Sales are expected to be at a steady rate and should total Q items sold during the year. Each time an order is placed a cost...

Q: Refer to the inventory problem of Example 2. If the distributor

Refer to the inventory problem of Example 2. If the distributor offers a discount of $1 per case for orders of 600 or more cases, should the manager change the quantity ordered?

Q: Starting with a 100-foot-long stone wall, a

Starting with a 100-foot-long stone wall, a farmer would like to construct a rectangular enclosure by adding 400 feet of fencing, as shown in Fig. 7(a). Find the values of x and w that result in the g...

Q: Using the sum rule and the constant-multiple rule, show

Using the sum rule and the constant-multiple rule, show that for any functions f (x) and g(x) d/dx [f (x) - g(x)] = d/dx f (x) – d/dx g(x).

Q: Rework Exercise 11 for the case where only 200 feet of fencing

Rework Exercise 11 for the case where only 200 feet of fencing is added to the stone wall. Exercise 11: Starting with a 100-foot-long stone wall, a farmer would like to construct a rectangular enclo...

Q: A rectangular corral of 54 square meters is to be fenced off

A rectangular corral of 54 square meters is to be fenced off and then divided by a fence into two sections, as shown in Fig. 7(b). Find the dimensions of the corral so that the amount of fencing requi...

Q: Refer to Exercise 13. If the cost of the fencing for

Refer to Exercise 13. If the cost of the fencing for the boundary is $5 per meter and the dividing fence costs $2 per meter, find the dimensions of the corral that minimize the cost of the fencing. E...

Q: Shakespear’s Pizza sells 1000 large vegi pizzas per week for $18

Shakespear’s Pizza sells 1000 large vegi pizzas per week for $18 a pizza. When the owner offers a $5 discount, the weekly sales increase to 1500. (a) Assume a linear relation between the weekly sales...

Q: Design an open rectangular box with square ends, having volume 36

Design an open rectangular box with square ends, having volume 36 cubic inches, that minimizes the amount of material required for construction.