2018 AJC Promo Q1 [Modified]

A dietitian wishes to plan a meal using three types of ingredients. The meal is to include \(8800\) microgram \(\left( \mu \mathrm{g} \right)\) of Vitamin \(A\), \(3380\mu \mathrm{g}\) of Vitamin \(C\) and \(1020\mu \mathrm{g}\) of calcium. The amount of the vitamins and calcium in each unit of the ingredients is summarised in the following table:

Ingredients I, II, III cost \(\$3\), \(\$2\), \(\$4\) respectively. Assuming that all the \(3\) ingredients were used and the number of units used are whole numbers, find the combination of each ingredient in the meal that meets the vitamins and calcium requirements and that cost the least.[5]