Ryan Brown spent $$5,500$ on a new oven for his pottery projects this year in the belief that it would increase his overall gains by $13\%$ over last year. Ryan is concerned that the new oven requires extra labor hours for its operation, and wants to check the energy savings of the new oven, and also to look over other measures of their productivity to see if the change really was beneficial. He has the following data to work with:

Last Year

This Year

Costs

Production $($finished units$)$

$3,900$

$4,350$

Greenware $($lb$)$

$3,200$

$3,950$

$29\mathrm{.}70$

Labor $($hrs$)$

$370$

$400$

$13\mathrm{.}5$

Capital $($$$)$

$14,500$

$24,000$

$0\mathrm{.}28\%$

Energy $($kWh$)$

$2,680$

$2,550$

$0\mathrm{.}75$

Factoring all of the data and the other considerations, answer the following:

a$.$ What was the change in productivity for Greenware

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b$.$ What was the change in productively for Labor

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c$.$ What was the change in productivity for Capital

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d$.$ What was the change in productivity for Energy

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e$.$ Based on multi$-$factor productivity what is last year's ratio

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$,$ and this year's ratio?

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$.$ What was the percent change?

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$,$ and was this beneficial?

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