Answer:
22 rides
Step-by-step explanation:
Both the parks has a fixed cost (admission fee) and a variable cost (per ride cost). We can model 2 equations in "x" [let x be number of rides], equate them and find "x".
<u>Playland Park:</u>
Fixed Cost = 7
Variable Cost = 0.75x (in dollars)
Equation = 7 + 0.75x
<u>Funland Park:</u>
Fixed Cost = 12.50
Variable Cost = 0.50x (in dollars)
Equation = 12.50 + 0.50x
Now we equate and solve for x:
Hence,
the cost would be same for both parks for 22 rides
Answer:
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Answer:
z (min) = 360 x₁ = x₃ = 0 x₂ = 3
Step-by-step explanation:
Protein Carbohydrates Iron calories
Food 1 (x₁) 10 1 4 80
Food 2 (x₂) 15 2 8 120
Food 3 (x₃) 20 1 11 100
Requirements 40 6 12
From the table we get
Objective Function z :
z = 80*x₁ + 120*x₂ + 100*x₃ to minimize
Subjet to:
Constraint 1. at least 40 U of protein
10*x₁ + 15*x₂ + 20*x₃ ≥ 40
Constraint 2. at least 6 U of carbohydrates
1*x₁ + 2*x₂ + 1*x₃ ≥ 6
Constraint 3. at least 12 U of Iron
4*x₁ + 8*x₂ + 11*x₃ ≥ 12
General constraints:
x₁ ≥ 0 x₂ ≥ 0 x₃ ≥ 0 all integers
With the help of an on-line solver after 6 iterations the optimal solution is:
z (min) = 360 x₁ = x₃ = 0 x₂ = 3
<span>The number of dimes saved was $1.20/$0.05 = 24
I don't know if it helped or not.
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