There are two factors that limit how much he can bake in a week: He only wants t
ID: 2125477 • Letter: T
Question
There are two factors that limit how much he can bake in a week: He only wants to work for 40 hours a week and he only has one oven. Suppose that it takes the baker 1hour to prepare a pair of cakes or a gross of cookies (before they are placed in the oven). Since he only wants to work 40 hours a week, his output of pairs of cakes x and his output of grosses of cookies y are constrained by the equation x+y=40.
To maximize the profit of the bakery, the first step is to find where the equations for all of the constraints intersect. For the following part, you will look at x+y=40 and y=0, which is also a constraint (specifically a minimum) since the baker cannot make a negative number of cookies.
Parts A and B might seem easier than most problems with linear systems, but in them you will use the basic techniques needed to solve any linear system: adding equations to cancel variables and substituting the value of one variable to find the value of the other.
Explanation / Answer
The question is asking how to eliminate the y variable. The answer is multiply it by -1.