The firm produces four types of machines A, B, C and D. This firm requires two types of raw materials and certain working hours for the production of these machines, as shown in the table below: A B C D Raw material-I 8 14 10 Raw material-II 2 4 7 Labor time ( hours) 2 1 3 1 The company has 800 tons of I-RM raw materials and 400 tons of II-RM raw materials and 150 working hours/week. The cost of a ton of raw materials is 2000 and 4000 dinars The cost of the hour of work is 1000 dinars, and the four machines are sold in the markets respectively 40,000, 60,000, 63,000 and 45,000 dinars/machine. Find how many machines of each type can be produced to increase profit

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: