1. 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 Gizmoes Doohickies Thingamabobs Wotsamajigies Hoosywotsits 1/6 1/6 1/6 1/6 1/6 1/6 17 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 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. [3 marks] (b) Suppose the open sector consumes Sw of widgets, $2w of gizmoes, $3w of doohickies, $4w of thingamabobs, $5w of wotsamajigies and $6w of hoosywotsits. What dollar output of doohickies must the economy produce in order to satisfy demand? [2 marks] 1. 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 Gizmoes Doohickies Thingamabobs Wotsamajigies Hoosywotsits 1/6 1/6 1/6 1/6 1/6 1/6 17 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 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. [3 marks] (b) Suppose the open sector consumes Sw of widgets, $2w of gizmoes, $3w of doohickies, $4w of thingamabobs, $5w of wotsamajigies and $6w of hoosywotsits. What dollar output of doohickies must the economy produce in order to satisfy demand? [2 marks]