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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Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length. Then add to your sketch the rectangles associated with the Riemann sum 
, using the indicated point in the kth subinterval for ck.f(x) = x2 - 1, [0, 8], left-hand endpoint
A. 
B. 
C. 
D. 
Estimate the value of the quantity.A swimming pool has a leak. The leak is getting worse. The following table gives the leakage rate every 6 hours.
Give the upper estimate for the number of gallons lost.
A. 145.2 gallons B. 254.4 gallons C. 32.4 gallons D. 194.4 gallons
Solve.The face-off areas in ice hockey have a diameter of 30.8 ft. Find the area of a face-off circle. Use 3.1.4 for ?. Round to the nearest tenth, if necessary.
A. 96.7 sq ft B. 744.7 sq ft C. 2978.7 sq ft D. 372.3 sq ft
Graph: 
What will be an ideal response?