Bakery has bought 250 pounds of muffin dough. They want to make waffles or muffins in half-dozen packs out of it. Half a dozen of muffins requires 1 lb of dough and a pack of waffles uses 3/4 lb of dough. It take bakers 6 minutes to make a half-dozen of waffles and 3 minutes to make a half-dozen of muffins. Their profit will be $1.50 on each pack of waffles and $2.00 on each pack of muffins. How many of each should they make to maximize profit, if they have just 20 hours to do everything?

650

Step-by-step explanation:

The number of packets of waffles is W

and the number of muffins are M

The weight of dough is 250 pounds and a pack of muffins requires 1 lb of dough whereas a pack of waffles uses 3/4 lb of dough.

3÷4W+M≤250

Multiplying both sides by 4

3W+4M≤1000

It takes bakers 6 minutes to make a packer of waffles and 3 minutes to make a pack of muffins, the total time available is 20 hours or 1200 minutes.

3M+6M≤1200

Minus the initial equation from the new equation:

(3M+6M≤1200)−(3W+4M≤1000)

2M≤200

Dividing equation by 2

M≤100

For M≤100

3W+4M≤1000

3W≤1000−4M

For the Maximum values of M

the least value of W is obtained

3W≥1000−4×100

3W≥600

Dividing the equation by 3

W≥300

For maximum profit, the number of waffles and muffins is taken as 300 and 100 respectively :

1.5∗300+2∗100

=650

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.

how do heroes resolve conflicts in beowulf?

question 15 options:

they sue each other in court

they get a mediator

the seek counseling

they get even or take revenge

step-by-step explanation: