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 12 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 alfalfa costs $11 and contains 30 lb of protein, 8 lb of fat, and 3 lb of mineral ash. How many sacks of each should be used to satisfy the minimum requirements at minimum cost? Fractional sacks are allowed.
A. 2 sacks of soybeans and 0 sacks of alfalfa
B. 
sacks of soybeans and 
sacks of alfalfa
C. 0 sacks of soybeans and 4 sacks of alfalfa
D. 
sack of soybeans and 
sacks of alfalfa
Answer: D
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Find the center of mass of a thin plate covering the given region with the given density function.The triangular region cut from the first quadrant by the line y = -x + 6, with density ?(x) = x
A. 
= 
, 
= 3
B. 
= 3, 
= 
C. 
= 
, 
= 
D. 
= 3, 
= 3
Refer to the given map. Assume that the length of each east-west block is 
mile and the length of each north-south block is 
mile. 
Find the shortest possible walking distance (following the streets) between the bus stop and the grocery store.
A. 1.25 mi B. 1.50 mi C. 1.63 mi D. 1.38 mi
Compute the compound interest.Andrea Gilford's savings account has a balance of $916. After 6 years, what will the amount of interest be at 5% compounded annually? Round to the nearest dollar.
A. $317 B. $312 C. $22 D. $303
Round the money amount to the specified place.$99.52 to the nearest dollar
A. $100 B. $99 C. $99.52 D. $9