Name: Date:
Linear Programming Word Problems
Target: I can solve word problems using Linear Programming.
Example 1: Yum's Bakery bakes two breads, A and B. One batch of A uses 5 pounds of oats and 3 pounds of flour
One batch of B uses 2 pounds of oats and 3 pounds of flour. The company has 180 pounds of oats and 135 pounds of
flour available. Yum's Bakery wants to maximize its profits from bread sales. One batch of A yields a profit of $40.
One batch of B yields a profit of $30. Find how many batches of each bread the bakery should bake and the maximum
profit
Oats
Flour
Bread A
5
3
Bread B
2
3
Total Available
180
135
p<= 180x + 135y

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

step-by-step explanation:

in which figure is point g a centroid