Answer:
e) z (max) = 24
x₁ = x₂ = 0 x₃ = 4
Step-by-step explanation:
a) The problem requires maximizing the total value from sandwich fruits and drink, therefore the objective function is associated to the sum of the values of each value.
We have three variables xi ( x₁, x₂, x₃ ) the values of sandwich, fruits and drink, and we have to maximize such quantities subject to the constraint of size (the capacity of the basket)
b) z = 6*x₁ + 4*x₂ + 6*x₃ Objective Function
Constraint :
basket capacity 17
9*x₁ + 3*x₂ + 4*x₃ ≤ 17
General constraints:
x₁ ≥ 0 x₂ ≥ 0 x₃ ≥ 0 all integers
e) z (max) = 24
x₁ = x₂ = 0 x₃ = 4
NOTE: Without the information about fractional or decimal feasible solution we decided to use integers solution
A quadratic equation given roots is solved by using the relation

from the question,
sum of the root will be



and also, product of the roots will
be

now substituting the sum of roots and product of roots into the equation


as the quadratic equation for the root 3/4 and -4
3. C 67.5 mi
4. A 65mi
5. B $270
Let
x------> the number of multiple choice question
y------> the number of free response question
we know that
-----> equation A

-----> equation B
Substitute equation B in equation A
Find the value of x


therefore
<u>the answer is</u>
the number of multiple choice question are 
the number of free response question are 
28% of 1.00 = 28
To get your answer, multiply .28 * 100.
28% of $1.00 = 28 cents.