- 3.
- (a) about $125. (b) about 5.5 tons. (c) about 5.6 tons. (d) about 10 tons. (e) about 10.5 tons.
- 5.
- The demand function is and the revenue function is , whose maximum occurs at ; the demand at that price is 640.
- 7.
- (a) . (b) . (c) .
- 10.
- (a) , . (b) . (c) . (d) (e) .
- 12.
- Let be the number of times to order per year. Then the lot size is , the number on hand averages , and the inventory cost is whose minimum is at . Thus orders should be placed 6 times per year, with lot size 60.
- 14.
- Line has equation
, so has
intercept
. Since line
has slope
, line has slope
and equation
. Hence on
when
Now
, so
, so
. Hence
- 15.
- (a) .
- 17.
- .

Jason Grout 2003-03-03