Thomas has the following utility function over milkshakes (m) and smoothies (s): U(m,s)=m+3s Today, he plans on spending $100 in total on milkshakes and/or smoothies. In answering the following questions, assume that milkshakes and smoothies can be bought in both integer and non-integer amounts. How many milkshakes and how many smoothies will Thomas buy if (a) the price of a milkshake is $5 and the price of a smoothie is $10 (b) the price of a milkshake is $5 and the price of a smoothie is $15

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 11E
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Thomas has the following utility function over milkshakes (m) and smoothies (s):

U(m,s)=m+3s

Today, he plans on spending $100 in total on milkshakes and/or smoothies. In answering the following questions, assume that milkshakes and smoothies can be bought in both integer and non-integer amounts.

How many milkshakes and how many smoothies will Thomas buy if

(a) the price of a milkshake is $5 and the price of a smoothie is $10

(b) the price of a milkshake is $5 and the price of a smoothie is $15

(c) the price of a milkshake is $5 and the price of a smoothie is $20

(d) the price of a milkshake is $10 and the price of a smoothie is $5

(e) the price of a milkshake is $15 and the price of a smoothie is $5

(f) the price of a milkshake is $20 and the price of a smoothie is $5

*Please find the number of milkshakes and the number of smoothies*

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