1) A baker is baking batches of cookies (x) and batches of brownies (y)

1) A baker is baking batches of cookies (x) and batches of brownies (y). It takes 4 minutes to bake a batch of cookies and 3 minutes to bake a batch of brownies. Each batch of cookies uses 3 cups of flour and each batch of brownies uses 5 cups of flour. The baker has 60 hours and 75 cups of flour. The constraints are given below:
Time constraint: 4x + 3y ≤ 60
Flour constraint: 3x + 5y ≤ 75


a) Find the y-intercept and x-intercept for the Time and Flour constraints. Input your answer as (0,#) as (#,0) respectively. The parentheses ( ) must be included.
y-intercept for Time: 
x-intercept for Time: 
y-intercept for Flour: 
x-intercept for Flour:


b) Graph the feasible region for the two constraints.




2) You work at an Italian ice shop during the summer. You need to order 4-ounce and 8-ounce cups.
The storage room can only hold 15 boxes of cups. A box of 4-ounce cups costs $8.50 and a box of 8-ounce cups costs $3.00 (There are more cups in the 4-ounce box). A maximum of $51.00 is budgeted for cups. Let x stand for the number of 4-ounce cups and y for the number of 8-ounce cups.
The constraints are 
x + y ≤ 15
8.5x + 3y ≤ 51
x ≥ 0
y ≥ 0


3) Draw the first two constraints on a graph


3) Given:
G = Gadgets
W = Widgets
Income = 6G +2W


At what values does the graph reach the maximum income?


Gadgets = _____
Widgets = _____
Income = _____