There are problems like "what is the greatest number that you need" and those are the problems
<span>You need to know two points on your line, in order to find the slope.
If you're given the y intercept, that is one point, (0,a) where a is the y intercept.
If you're given the x intercept, that's another point, (c,0) where c is the x intercept.
You could also be given points on the line that aren't an x or y intercept. Let's call these points (r,s) and (j,k).
To find the slope of the line, you need just two points. Take the
difference of the y coordinates, and divide by the difference of the x
coordinates to solve for the slope.
Using our two generic points (r,s) and (j,k), we would solve for the slope m as follows:
m = (s-k) ÷ (r-j)
Hope that helped! </span>
The baker make should make 5 trays of corn muffin and 2 trays of bran muffin to maximize his profit
<h3>How to determine how many trays of each type of muffin should the baker make to maximize his profit?</h3>
The given parameters can be represented in the following tabular form:
Corn Muffin (x) Bran Muffin (y) Total
Milk 8 4 48
Wheat flour 5 5 35
Profit 5 3
From the above table, we have the following:
Objective function:
Max P = 5x + 3y
Subject to:
8x + 4y <= 48
5x + 5y <= 35
x, y > 0
Express the constraints as equations
8x + 4y = 48
5x + 5y = 35
Divide 8x + 4y = 48 by 4 and divide 5x + 5y = 35 by 5
So, we have:
2x + y = 12
x + y = 7
Subtract the equations
2x - x + y - y = 12 - 7
Evaluate
x = 5
Substitute x = 5 in x + y = 7
5 + y = 7
This gives
y = 2
So, we have
x= 5 and y = 2
Hence, the baker make should make 5 trays of corn muffin and 2 trays of bran muffin to maximize his profit
Read more about maximizing profits at:
brainly.com/question/13799721
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Answer:
The distance of the park from the Gary's house is 125 miles.
Step-by-step explanation:
Speed of Gary = 50 miles/hour
Time taken by Gary to reach the park from his house = 2.5 hours
Now, we know that,
Distance travelled = speed × time
So, distance between park and Gary's house = speed × time
= 50 × 2.5
= 125 miles
So, the park is 125 miles away from the Gary's house.