2.19 Billy Bob wants to gain some weight so that he can play football. Billy eat
ID: 1199919 • Letter: 2
Question
2.19 Billy Bob wants to gain some weight so that he can play football. Billy eats only milkshakes and spinach. Milkshakes cost him $1 each and spinach costs $2 per serving. A milkshake has 850 calories and a serving of spinach has 200 calories. Billy Bob never spends more than $20 a day on food and he always consumes at least 8000 calories per day. Which of the following is necessarily true?
(a) Billy Bob consumes at least 9 milkshakes a day.
(b) Billy Bob never consumes more than 6 servings of spinach a day .
(c) Billy Bob never consumes positive amounts of both goods.
(d) Billy Bob consumes only milkshakes.
(e) None of the above.
Answer is B. Please show me a full working solution. Thanks
Explanation / Answer
(b) Billy Bob never consumes more than 6 servings of spinach a day .
because for 6 spinach, he has to spend $12 ($2*6) , therefore he will left with $8 which can be used to purchase 8 milkshakes
total calorie from spinach= 200*6= 1200
total calorie from milkshakes = 850*8 = 6800
total calorie=8000
which is atleast required amount of calorie
herefore if bob go for more spinach > than 7 units, he will end up at calories less than 8000
let see
calorie from 7 spinach= 1400
calorie from 6 milkshakes = 5100
total calorie = 6500<8000
so
Billy Bob never consumes more than 6 servings of spinach a day
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