please more focusing on the data, do not copy other works.

The data they were presented with was not the same as this question.

please explain it in detail, thank you

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. Input required per Dollar Output Widgets Gizmoes Doohickies Thingamabobs Wotsamajigies Hoosywotsits Widgets 1/6 1/7 1/8 1/9 1/10 1/11 Gizmoes 1/6 1/7 1/8 1/9 1/10 1/11 Doohickies 1/6 1/7 1/8 1/9 1/10 1/11 Provider Thingamabobs 1/6 1/8 1/7 1/10 1/9 1/11 Wotsamajigies 1/6 1/8 1/7 1/10 1/9 1/11 Hoosywotsits 1/6 1/8 1/7 1/10 1/9 1/11 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 interpret your results. a. Is the consumption matrix corresponding to the economy productive? b. Suppose the open sector consumes $2w of widgets,$4w of gizmoes, $2w of doohickies, Sw of wotsamajigies and $2w of hoosywotsits. What dollar output of doohickies must the economy produce in order to satisfy demand