Solve the linear programming problem.Joely's Tea Shop, a store that specializes in tea blends, has available 45 pounds of A grade tea and 70 pounds of B grade tea. These will be blended into 1 pound packages as follows: A breakfast blend that contains one third of a pound of A grade tea and two thirds of a pound of B grade tea and an afternoon tea that contains one half pound of A grade tea and one half pound of B grade tea. If Joely makes a profit of $1.50 on each pound of the breakfast blend and $2.00 profit on each pound of the afternoon blend, how many pounds of each blend should she make to maximize profits? What is the maximum profit?
What will be an ideal response?
75 packages of the breakfast blend, 40 packages of the afternoon blend; maximum profit $192.50
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Find a matrix A and a column matrix B that describe the following tables involving credits and tuition costs. Find the matrix product AB, and interpret the significance of the entries of this product.
?
A.
AB = 
The number of credits for Student 1 is 12, the number of credits for Student 2 is 17, and the number of credits for Student 3 is 15.
B.
AB = 
The number of credits for Student 1 is 17, the number of credits for Student 2 is 15, and the number of credits for Student 3 is 12.
C.
AB =
Tuition for Student 1 is $800, tuition for Student 2 is $650, and tuition for Student 3 is $860.
D.
AB = 
Tuition for Student 1 is $900, tuition for Student 2 is $800, and tuition for Student 3 is $610.
Factor completely. If the polynomial is prime, state this.169s2 - 4t4
A. (13s + 2t2)(13s - 2t2) B. (13s - 2t2)2 C. Prime D. (13s + 2t2)2
Write the prime factorization of the number.12
A. 6 ? 2 B. 32 C. 4 ? 3 D. 22 ? 3
Write the expression as one fraction with positive exponents.3y5/3 - 5y-2/3
A. 
B. 
C. 
D. 