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? Fractional sacks are allowed.
A. 0 sacks of soybeans and 4 sacks of oats
B.
| 2 sacks of soybeans and 0 sacks of oats |
C.
sacks of soybeans and 
sacks of oatsD.
sacks of soybeans and 
sacks of oatsAnswer: B
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Solve the problem.Estimate the minimum number of subintervals needed to approximate the integral
with an error of magnitude less than 10-4 using Simpson's Rule.
A. 16 B. 20 C. 18 D. 19
Multiply or divide as indicated. Write the answer in lowest terms. 
? 
A. 
B. 
C. - 
D. 
Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.Show that the statement "
is a prime number" is true for 
, but is not true for 
.
What will be an ideal response?
Find the expected value of the optimal strategy.A college is holding a rock and roll concert to be held in the stadium and has sold out all tickets. If it rains, the show will have to be moved to the gym which has a smaller seating capacity. The college must decide in advance whether to set up seats and the stage in the gym, or in the stadium, or both, just in case. The net profit in each case is given in the payoff matrix below:RainNo Rain
According to the weather forecaster, the probability of rain is 0.15. What is the maximum expected profit?
A. $1723 B. $1260 C. $750 D. $1585