Solve the problem.Big Round Cheese Company has on hand 45 pounds of Cheddar and 49 pounds of Brie each day. It prepares two Christmas packages-the "Holiday" box, which has 5 pounds of Cheddar and 2 pounds of Brie, and the "Noel" box, which contains 2 pounds of Cheddar and 7 pounds of Brie. Profit on each Holiday assortment is $6, profit on each Noel assortment is $8. (a)Give the optimal production schedule and the resulting maximum profit.(b) How much excess Cheddar and excess Brie remain each day if this plan is followed?
What will be an ideal response?
| (a) | 7 Holiday boxes, 5 Noel boxes; , Maximum profit = $82 |
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Use the limit definition of the partial derivative to compute the indicated partial derivative of the function at the specified point.Find 
at the point (5, -2): f(x, y) = 7x2 + 5xy + 6y2
What will be an ideal response?
Rationalize the denominator.
A. 
B. 
C. 
D. 
Part of $9,000 is invested at 11%, another part at 13%, and the remainder at 14% yearly interest. The total yearly income from the three investments is $1,175. The sum of the amounts invested at 11% and 13% equals the amount invested at 14%. How much is invested at each rate?
A. $2,000 at 11%, $2,500 at 13%, and $4,500 at 14% B. $3,000 at 11%, $1,500 at 13%, and $3,500 at 14% C. $3,000 at 11%, $1,500 at 13%, and $4,500 at 14% D. $3,000 at 11%, $2,500 at 13%, and $3,500 at 14% E. $1,000 at 11%, $3,500 at 13%, and $3,500 at 14%
For the given parabola, give the coordinates of the vertex, the axis, the domain, and the range.y = - 
(x - 7)2 - 2
A. vertex: (7, -2); axis: x = 7; domain: (-?, ?); range: (-?, -2] B. vertex: (-7, -2); axis: x = -7; domain: (-?, ?); range: (-?, -2] C. vertex: (7, -2); axis: y = 7; domain: (-?, ?); range: [-2, ?) D. vertex: (-2, 7); axis: y = 7; domain: (-?, -2]; range: (-?, ?)