Elena makes banana bread and nut bread to sell at the market. a loaf of banana bread requires 2 cups of flour and 2 eggs. a loaf of nut bread takes 3 cups of flour and 1 egg. elena has 12 cups flour and 8 eggs on hand. if she makes $1.50 profit per loaf of banana bread and $2 per loaf of nut bread, how many loaves of banana bread and nut bread could she make that will maximize her profit? a. elena could make 0 loaves of banana bread and 4 loaves of nut bread to maximize her profit. b. elena could make 2 loaves of banana bread and 3 loaves of nut bread to maximize her profit. c. elena could make 3 loaves of banana bread and 2 loaves of nut bread to maximize her profit. d. elena could make 1 loaf of banana bread and 5 loaves of nut bread to maxim

The answer is Elena could make 3 loaves of banana bread and 2 loaves of nut bread to maximize her profit

The correct answer is option C

Step-by-step explanation:

Let the number of loaves of banana bread be = x

Let the number of loaves of nut bread be = y

As given, a loaf of banana bread requires 2 cups of flour and 2 eggs, then x loaves will need 2x cups of flour and 2x eggs. Similarly, a loaf of nut bread needs 3 cups of flour and 1 egg, then y loaves will need 3y cups of flour and y eggs.

Also give is , Elena has 12 cups flour and 8 eggs then equations with respect to flour and eggs become :

2x+3y≤12      (flour)

2x+y≤8         (eggs)

Its stated that if Elena makes $1.50 profit per loaf of banana bread and $2 per loaf of nut bread, so she makes a total profit of 1.50x+2y    .... (a)

Now, to solve the maximum profit we will make a graph. Please find attached the graph. The maximum profit is calculated at point (3,2)

Now putting x as 3 and y as 2 in equation (a)

1.50*3+2*2 = 4.5+4 = $8.5

Hence, Elena could make 3 loaves of banana bread and 2 loaves of nut bread to maximize her profit.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.