Matrix of production/2/Exercise

Out of the resources $R_{1}, R_{2}$ , and $R_{3}$ , several commodities $P_{1}, P_{2}, P_{3}, P_{4}$ are produced. The following table shows how much of the resources are needed to produce the commodities (always in suitable units).

	$R_{1}$	$R_{2}$	$R_{3}$
$P_{1}$	$6$	$2$	$3$
$P_{2}$	$4$	$1$	$2$
$P_{3}$	$0$	$5$	$2$
$P_{4}$	$2$	$1$	$5$

a) Establish a matrix that computes, applied to a four-tuple of commodities, the required resources.

b) The following table shows how much of each commodity shall be produced in a month.

	$P_{1}$	$P_{2}$	$P_{3}$	$P_{4}$
	$6$	$4$	$7$	$5$

What resources are necessary?

c) The following table shows how much of each resource is delivered on a certain day.

	$R_{1}$	$R_{2}$	$R_{3}$
	$12$	$9$	$13$

What tuples of commodities can be produced from this without waste?

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