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:
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Answer:
3/4x - 1
Step-by-step explanation:
Answer:
2=2
Step-by-step explanation:
Answer:
x = 1
Step-by-step explanation:
Sum the coefficients of the polynomial, that is
1 - 6 + 11 - 6 = 0
Hence x = 1 is a root and (x - 1) is a factor of the polynomial
The statement which best explains whether the student is correct is: D. the student is completely incorrect because there is "no solution" to this inequality.
<h3>What is an inequality?</h3>
An inequality refers to a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:
- Less than or equal to (≤).
- Greater than or equal to (≥).
Since |x-9| is greater than or equal (≥) to zero (0), we can logically infer that this student is completely incorrect because there is "no solution" to this inequality.
Read more on inequalities here: brainly.com/question/24372553
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<u>Complete Question:</u>
A student found the solution below for the given inequality.
|x-9|<-4
x-9>4 and x-9<-4
x>13 and x<5
Which of the following explains whether the student is correct?
A. The student is completely correct because the student correctly wrote and solved the compound inequality.
B. The student is partially correct because only one part of the compound inequality is written correctly.
C. The student is partially correct because the student should have written the statements using “or” instead of “and.”
D. The student is completely incorrect because there is “ no solution “ to this inequality.