Liz is working to raise money for breast cancer research. She discovered that each church group requires 2 hours of letter writing and 1 hour of follow-up, while each neighborhood group needs 2 hours of letter writing and 3 hours of follow-up. Liz can raise $125 from each church group and $175 from each neighborhood group, and she has a maximum of 12 hours of letter-writing time and a maximum of 16 hours of follow-up time available per month. Use the simplex method to complete parts (a) and (b). (a) Determine the most profitable mixture of groups Liz should contact and the most money she can raise in a month. Set up the linear programming problem. Let x, and x, represent the numbers of church groups and neighborhood groups, respectively, and let z be the total amount money raised. V z= subject to 2x, + 2x2 X1 + 3x2 x, 20, x2 20. (Do not factor. Do not include the $ symbol in your answers.) Enter your answer in the edit fields and then click Check Answer. parts remaining Clear All Check Answer

Problem 4 (6.EE.A.3) Which expression is equivalent to 5(4x + 3)-2x? A. 18x+15 B. 18x +3 C 7x+8 D. 2x +8

Use these two recipes to answer the following questions. Blueberry Crepes Maple-Orange Custard cup sugar cup maple syrup 2 cups all-purpose flour 1 cups skim milk 1 cups cold water 1 tablespoon unsalted butter 1 tablespoon finely grated orange rind 4 large eggs 3 tablespoons canola oil 2 eggs, separated 2 cups frozen small, wild blueberries 3 tablespoons all-purpose flour 2 teaspoons cornstarch * cup orange juice 1 cup skim milk, blended with cup nonfat dry powdered milk * cup sugar 1 teaspoon vanilla extract z teaspoon lemon juice Part 1 out of 2 a. Is cup of maple syrup enough for Maple-Orange Custard? v (select) No Yes < Prev 21 of 21 Next

EXAMPLES. Observe that iz + 3 lim z→-1 z +1 z + 1 lim %3D since z→-1 iz + 3