Paul has to buy two types of Yogurts$-$ Brand A and Brand B for children. He knows the following regarding the Vitamins the yogurts have:

Vitamin A Vitamin B Vitamin C

Brand A $126\mathrm{.}58\mathrm{.}5$

Brand B $125\mathrm{.}510\mathrm{.}5$

It is imperative that Paul ensures the children receive a minimum of $200$ units of Vitamin A$,150$ units of Vitamin B$,$ and $150$ units of Vitamin C$.$ This requirement must be met even if it means purchasing more expensive Brand B yogurts, which cost $$2\mathrm{.}25$ per unit compared to the $$1\mathrm{.}50$ per unit of Brand A$.$ Furthermore, there must be twice as many Brand B yogurts as Brand A yogurts, and currently, only $5$ Brand A yogurts are available at the store.

Using linear programming find the minimum cost of buying the yogurts to provide the required units of vitamins. How many of each type of yogurt Paul should buy to keep the cost at the minimum. Please solve using Excel and use solver in Excel as well.