A pharmaceutical company decides to manufacture face masks under the given condition: If the shopkeeper buys 100 masks the cost of each mask is Rs.50 and if he/she buys more than 100 then cost of one mask would be reduced by Rs.15.Express this situation in terms of a linear equation in two variables and draw the graph for the same.
Answers
Given : A pharmaceutical company decides to manufacture face masks under the given condition: If the shopkeeper buys 100 masks the cost of each mask is Rs.50 and if he/she buys more than 100 then cost of one mask would be reduced by Rs.15
To find : Express this situation in terms of a linear equation in two variables and draw the graph for the same.
Solution:
Case 1 : Mask cost reduced for Quantity more than 100 only
C = Cost of Mask
x = Number of Maskx
=> C = 50x if x ≤ 100
= 50 * 100 + (50 - 15)(x - 100) if x > 100
= 5000 + 35x - 3500 if x > 100
= 1500 + 35x if x > 100
C = 50x if x ≤ 100
= 1500 + 35x if x > 100
Case 2 : Mask cost reduced for Complete Quantity Quantity for more than 100
C = Cost of Mask
x = Number of Maskx
=> C = 50x if x ≤ 100
= 35x if x > 100
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