On August 12, 2003, the world market price of coffee was $1.42 per kg of ara and $0.73 per kg of Rob. Write an equation relating a and r if the plantation produces coffee worth $1,000,000.
Let's assume that the plantation produces a kilograms of ara coffee and r kilograms of Rob coffee.
The value of the ara coffee produced will be a * $1.42.
Similarly, the value of the Rob coffee produced will be r * $0.73.
Given that the total value of the coffee produced is $1,000,000, we can create the following equation:
a * $1.42 + r * $0.73 = $1,000,000
To write an equation relating a and r, we need to consider the values of ara and Rob produced by the plantation.
Let's assume 'x' represents the amount of ara produced in kg, and 'y' represents the amount of Rob produced in kg.
The total value of ara produced is given by: $1.42 * x
The total value of Rob produced is given by: $0.73 * y
According to the problem, the total value of coffee produced by the plantation is $1,000,000.
So, the equation relating a and r is:
$1.42 * x + $0.73 * y = $1,000,000
To write the equation relating the quantity of ara (a) and the quantity of Rob (r) when the plantation produces coffee worth $1,000,000, we need to first calculate the total value of coffee produced.
Total value of ara = Price per kg of ara * Quantity of ara = $1.42 * a
Total value of Rob = Price per kg of Rob * Quantity of Rob = $0.73 * r
Since the total value produced is $1,000,000, we can set up the following equation:
Total value of ara + Total value of Rob = $1,000,000
$1.42 * a + $0.73 * r = $1,000,000
This equation represents the relationship between the quantities of ara and Rob when the plantation produces coffee worth $1,000,000.