Answer:
13 hours
Step-by-step explanation:
Let's first start by finding how much he makes in 1 hours:

Now we can set up two ratios

Solve by cross multiplying (multiply the numerator of the first fraction with the denominator of the second fraction and the numerator of the second fraction with the denominator of the first fraction)
16x=208
Divide both sides by 16 to isolate x
x=13
He would have to work 13 hours to make $208
I think that it would equal 14.
A2/3 x ? = a5/6
Divide a2/3 from both sides
? = a5/6 / a2/3
? = a5/6 x a3/2
? = a15/12
? = a1+1/4
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