The figure depicts a racetrack with ends that are semicircular in shape. The length of the track is 
.
?
?
Find r and lso that the area enclosed by the rectangular region of the racetrack is as large as possible.
?
A. 
B. 
C. ?
D. ?
Answer: D
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Find the volume of the indicated region.the region under the surface 
, and bounded by the planes 
and 
and the cylinder 
A. 
B. 
C. 
D. 
Write the x- and y-intercepts of the graph.
A. x-intercept: 2; y-intercept: -8 B. x-intercept: -2; y-intercept: -8 C. x-intercept: -2; y-intercept: 8 D. x-intercept: 2; y-intercept: 8
Use the simplex method to solve.A manufacturing company makes three brands of television sets A, B, and C in two different plants I and II. Plant I has a production capacity of 40 brand-A sets, 40 brand-B sets, and 20 brand-C sets per day, and a daily operating cost of $3000. Plant II has a production capacity of 20 brand-A sets, 60 brand-B sets, and 20 brand-C sets per day, and a daily operating cost of $2000. How many days should each plant be operated to fill an order for 600 brand-A, 1000 brand-B, and 400 brand-C sets at the minimum cost?
What will be an ideal response?
Solve the problem.Suppose an animal feed to be mixed from soybean meal and oats must contain at least 100 lb of protein, 20 lb of fat, and 9 lb of mineral ash. Each 100-lb sack of soybean meal costs $20 and contains 50 lb of protein, 10 lb of fat, and 8 lb of mineral ash. Each 100-lb sack of oats costs $10 and contains 20 lb of protein, 5 lb of fat, and 1 lb of mineral ash. How many sacks of each should be used to satisfy the minimum requirements at minimum cost?
A. 
sacks of soybeans and 
sacks of oats
B.
| 2 sacks of soybeans and 0 sacks of oats |
C.
sacks of soybeans and 
sacks of oatsD. 0 sacks of soybeans and 2 sacks of oats