Reduce the final answer if needed (or reduce when you multiply). A mixed number should be converted to an improper fraction (heavier on top) before simplifying. Change the numerator and denominator to single fractions<span> by creating a common denominator</span>
Answer:
250 batches of muffins and 0 waffles.
Step-by-step explanation:
-1
If we denote the number of batches of muffins as "a" and the number of batches of waffles as "b," we are then supposed to maximize the profit function
P = 2a + 1.5b
subject to the following constraints: a>=0, b>=0, a + (3/4)b <= 250, and 3a + 6b <= 1200. The third constraint can be rewritten as 4a + 3b <= 1000.
Use the simplex method on these coefficients, and you should find the maximum profit to be $500 when a = 250 and b = 0. So, make 250 batches of muffins, no waffles.
You use up all the dough, have 450 minutes left, and have $500 profit, the maximum amount.
We know that the point is in Q II. Thus, the x-coordinate of this point will be negative and the y-coordinate will be positive.
The y-coordinate is essentially given, and is y=4.
Imagine drawing a vertical line thru x=-2. This line will intersect y=4 at (-2,4).
The coordinates of the point are (-2, -4).
5/3 and 6/2 because the pattern shows that it adds one to the numerator while it deducts one from the denominator.