Question

Consider an economy with six product-producing sectors and one non-producing sector, described by the following table, where(b) Suppose the open sector consumes Sw of widgets, $2w of gizmoes, $3w of doohickies, $4w of thingamabobs, $5w of wotsamajig

Consider an economy with six product-producing sectors and one non-producing sector, described by the following table, where the input is in dollars needed for $1.00 of output. 1. Input Required per Dollar Output Widgets Gi |Doohickies | Thingamabobs Wotsamajigies Hoosywotsits 1/6 1/6 1/6 1/6 1/6 1/6 1/8 1/8 1/8 1/8 1/8 1/8 1/9 1/9 1/9 1/9 1/9 1/9 1/10 1/10 1/10 1/10 1/10 1/10 Widgets Gizmoes Thingamabobs Wotsamajigies Hoosywotsits In answering the following questions, you are free to use Mathematica to perform any necessary calculations. However, your written answers must clearly explain the underlying concepts, and you must meaningfully interpret your results (a) Is the consumption matrix corresponding to this economy productive?
(b) Suppose the open sector consumes Sw of widgets, $2w of gizmoes, $3w of doohickies, $4w of thingamabobs, $5w of wotsamajigies and S6w of hoosywotsits. What dollar output of doohickies must the economy produce in order to satisfy demand?
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