Solve the 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
You might also like to view...
?Gas costs $3.10 a gallon. Which of the following represents the function that expresses the independent variable as a function of the dependent variable? ?
A. ?x = 3.1y, where y is the independent variable and x is the dependent variable. B. ?y = 3.1x, where x is the independent variable and y is the dependent variable. C. ?y = 3.1x, where y is the independent variable and x is the dependent variable. D. ?y = 3.1, where y is the independent variable and the dependent variable. E. ?None of the above.
Factor the trinomial completely, or state that the trinomial is prime.10x2 + 23x + 12
A. (2x - 3)(5x - 4) B. (10x + 3)(x + 4) C. (2x + 3)(5x + 4) D. prime
Use Gauss-Jordan elimination to solve the linear system and determine whether the system has a unique solution, no solution, or infinitely many solutions. If the system has infinitely many solutions, describe the solution as an ordered triple involving variable z. x + y + z = 92x - 3y + 4z = 7
A. 
B. no solution
C. 
D. 
Solve the problem.The cost of manufacturing a molded part is related to the quantity produced during a production run. When 100 parts are produced, the cost is $300. When 600 parts are produced, the cost is $3800. What is the average cost per part?
A. $0.14 per part B. $5.83 per part C. $7.00 per part D. $8.00 per part