Acompany produces three combinations of mixed vegetables that sell in 1-kg packages. italian style combines 0.4 kg of zucchini, 0.3 kg of broccoli, and 0.3 kg of carrots. french style combines 0.5 kg of broccoli and 0.5 kg of carrots. oriental style combines 0.2 kg of zucchini, 0.3 kg of broccoli, and 0.5 kg of carrots. the company has a stock of 18 comma 200 kg of zucchini, 28 comma 100 kg of broccoli, and 38 comma 700 kg of carrots. how many packages of each style should it prepare to use up existing supplies?

Italian style = 19,000 packages

French style = 13,000 packages

Oriental style = 53,000 packages

Step-by-step explanation:

let the number of packages of Italian style = x

let the number of packages of French style = y

let the number of packages of Oriental style = z

See the attached table which summarize the problem

Using the table we can get the following system of equations:

0.4x + 0 * y + 0.2z = 18,200

0.3x + 0.5y + 0.3z = 28,100

0.3x + 0.5y + 0.5z = 38,700

Solving the 3 equations together to find x , y and z

Using the calculator

x = 19,000

y = 13,000

z = 53,000