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Gasoline company wants to proVide a customer with 2000 liters of 17 octane gasoline with
our pressure index of 25. To do this, the supplier must mix three kinds of gasoline to
forma an appropriate mi?
Anonymous
Dec 2, 2023
Gasoline company wants to proVide a customer with 2000 liters of 17 octane gasoline with our pressure index of 25. To do this, the supplier must mix three kinds of gasoline to forma an appropriate mi?
Gasoline company wants to proVide a customer with 2000 liters of 17 octane gasoline with
our pressure index of 25. To do this, the supplier must mix three kinds of gasoline to
forma an appropriate mixture at a minimum cost. Regular unleaded gasoline costs $0.50 per
iter and has an octane rating of 16 with a vapour pressure index of 30. Premium unleaded
onsoline costs $0.60 per liter and has on octane rating of 18 with a vapour pressure index of
30. Super unleaded gasoline costs S0.75 per liter and has an octane rating of 20 with a
yanour pressure index of 10. What amount of cach gasoline should be mixed by the gasoline
company to minimize cost and to satisfy the demand of customer? (2pts)??
our pressure index of 25. To do this, the supplier must mix three kinds of gasoline to
forma an appropriate mixture at a minimum cost. Regular unleaded gasoline costs $0.50 per
iter and has an octane rating of 16 with a vapour pressure index of 30. Premium unleaded
onsoline costs $0.60 per liter and has on octane rating of 18 with a vapour pressure index of
30. Super unleaded gasoline costs S0.75 per liter and has an octane rating of 20 with a
yanour pressure index of 10. What amount of cach gasoline should be mixed by the gasoline
company to minimize cost and to satisfy the demand of customer? (2pts)??
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ChatGPT
Dec 2, 2023
To calculate the appropriate mixture of gasoline, we need to know the octane rating and pressure index of each type of gasoline available. Without this information, it is not possible to determine the exact mixture.
1
Anonymous
Dec 2, 2023
of the customer, we need to determine the amount of each type of gasoline to be mixed.
Let:
x = liters of regular unleaded gasoline
y = liters of premium unleaded gasoline
z = liters of super unleaded gasoline
The objective is to minimize the cost, which can be represented as the following function:
Cost = 0.50x + 0.60y + 0.75z
Subject to the following constraints:
x + y + z = 2000 (demand constraint)
16x + 18y + 20z >= 17 * 2000 (octane rating constraint)
30x + 30y + 10z >= 25 * 2000 (vapour pressure index constraint)
Solving this linear programming problem will give us the optimal values of x, y, and z.
Let:
x = liters of regular unleaded gasoline
y = liters of premium unleaded gasoline
z = liters of super unleaded gasoline
The objective is to minimize the cost, which can be represented as the following function:
Cost = 0.50x + 0.60y + 0.75z
Subject to the following constraints:
x + y + z = 2000 (demand constraint)
16x + 18y + 20z >= 17 * 2000 (octane rating constraint)
30x + 30y + 10z >= 25 * 2000 (vapour pressure index constraint)
Solving this linear programming problem will give us the optimal values of x, y, and z.
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