Question

5) On a given day Adam enjoys the consumption of beer (B) and wine (W) according to the function: U (B,W) = 20B – B2 + 18W – 3W2 1. (5) How many glasses of beer and glasses of wine does he consume during a day? How much utility does he get from this consumption? (Cost is no object to Adam) 2. (5) Lately, however, Adam has been advised by his doctor to limit the sum of glasses of wine and glasses of beer consumed to 5. How many glasses of wine and glasses of beer will he consume under these circumstances? How much utility will he get?

Answer 1

set up lagron gion for l= 208 - B²+ 18W-362 - d (BtW - 5) 20 - 2B-120 foci de dB 0 ) - 20-2B de 18 - Gw -d=0 بال s - - d = 18-6w - (Btw-5)=0 de da OD = Btw = 5 Equate 6 and 1 = > 2o-2B = 18-ow (20 -18) = -60 +2B i 2 +6w = 2B = B = (2+6w)/2 B = 1t3w put 1+3wtw=5 Que Dir Bo5 4w=5-1 W = 4/4 (: با

in put wal گ: يا +B 8 : 5 B: 5-) B = 4 wine 4 gluddes of beer and I glas of would be contume. بیا 3 - يناير - 8 - 208 : 0 342 ۔ (18 +2(4) - (و) 2 : 65 - 6 - 18 - 3 : 2 64 - 19 19 الولادی