Laneka owns a cake shop. She is currently preparing cakes for two anniversary parties. The first cake has 3 small tiers and 1 medium tiers and will serve a total of 100 guest . The second one has 3 small tiers and 2 medium tiers and will serve a total of 140 guest.. what is the system
Let r = small tier and s be medium tier. Then 3r + s = 100 ------------(1) And 3r + 2s = 140 ------------(2) Subtracting (2) from (1) we have s = 40. Substituting value for r into (1) we have 3r + 40 = 100. 3r = 100 - 40 = 60 3r = 60 r = 20. If U = 3r + s = 100 = 3r + s - 100 Then du/dr = 3 and du/ds = 1 Also, du/dr = 3 and du/ds = 2
