Grams First, Rupees Second

A bakery makes three products — bread, cake and cookies. The recipe matrix $R$ records how many grams of each ingredient one unit of each product consumes. Rows are ingredients, columns are products:

	Bread	Cake	Cookies
Flour	$200$	$150$	$120$
Sugar	$50$	$90$	$60$
Butter	$40$	$70$	$100$

Today's production plan is the vector

$\vec{p} = \begin{bmatrix} 30 \\ 20 \\ 25 \end{bmatrix} \qquad \text{(bread, cake, cookies)}$

Ingredient prices, in rupees per gram, are $0.02$ for flour, $0.05$ for sugar and $0.08$ for butter:

$\vec{c} = \begin{bmatrix} 0.02 \\ 0.05 \\ 0.08 \end{bmatrix}$

First compute $\vec{u} = R\vec{p}$ , the grams of each ingredient the plan consumes. Then report the total ingredient cost of the day's production, in rupees.

Your answer is a whole number of rupees.

Grams First, Rupees Second

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