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Dean runs The Creamy Bar which specialises in artisan ice cream sold at a local farmer's market. Prevailing prices in the local market are $8 for a take-home tub of Classic Vanilla and $15 for a tub of Chocolate Almond Fudge.
The local dairy farmer delivers 48 litres of milk every Friday in preparation for market day. Classic Vanilla will need 0.5 litres per tub and Chocolate Almond Fudge requires 3 times as much. Both flavours require 500g of sugar to enhance the taste. There is a total of 20kg of sugar available per market day. For the signature velvety mouthfeel, Dean adds 0.5 litres of heavy cream to Classic Vanilla and double the amount for Chocolate Almond Fudge. He ordered 50 litres of heavy cream from the supplier.
Profit line (Profit = 40)
Problem 1: What is the maximum profit per market day if Dean paid $1.2 per litre for milk and cream and $45 for sugar? Note that Dean also draws a $100 salary per market day.
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