(timed)alan wants to bake blueberry muffins and bran muffins for the school bake sale. for a tray of blueberry muffins, alan uses 1/3 cup of oil and 2 eggs. for a tray of bran muffins, alan uses 1/2 cup of oil and 1 egg. alan has 4 cups of oil and 12 eggs on hand. he sells trays of blueberry muffins for $12 each and trays of bran muffins for $9 each. alan wants to maximize the money raised at the bake sale. let x represent the number of blueberry muffins and y represent the number of bran muffins alan bakes. what are the constraints for the problem?

Let x represent the number of blueberry muffins

Let y represent the number of bran muffins

Tray of blueberry muffins: 1/3 cup of oil & 2 eggs

Tray of bran muffins: 1/2 cup of oil & 1 egg

Alan has 4 cups of oil and 12 eggs on hand.

He sells a tray of blueberry muffins for $12 each.

He sells a tray of bran muffins for $9 each.

The constraints for the problem are 4 cups of oil and 12 eggs.

Alan should not exceed 4 cups of oil and 12 eggs as it will create shortage. He should get the correct proportion of both the muffins to maximize his profit.

In equation form it is :

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold

ok then what happened.