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A deli sells two types of sandwiches, tuna salad and BLT. The profit on the sandwiches is $1.50 for tuna and $2.50 for the BLT. The amount of bread available is enough for 30 sandwiches. The deli has 4 hours available to prepare sandwiches in the morning. If tuna sandwiches take 6 minutes to prepare, and BLT sandwiches take 9 minutes, how many of each type of sandwich should be prepared to maximize the profit?

Respuesta :

angelinaketkun2
x = tuna, y = BLT

x + y = 30
6x + 9y = 240

3y = 60
y = 20

x = 10

20 BLTs for $2.50, 10 tuna for $1.50

To maximize the profit, the number of BLT sandwiches that can be prepared = 20 and number of tuna sandwiches = 10.

What is a linear equation ?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."

Let the number of tuna sandwiches be x

Let the number of BLT sandwiches be y

Then from the question we can write

[tex]x + y = 30\\\\6x + 9y = 240\\\\So, 3y = 60\\\\y = 20[/tex]

Also, x = 10

Hence, to maximize the profit the number of tuna sandwiches = 10 and number of BLT sandwiches = 20.

To know more about linear equation here

https://brainly.com/question/10413253

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