Using proportions, the percentage change in the cost of manufacturing the kitchen cabinet was a increase of 5.5%.
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The standard cost is given as follows:
S = 250 + 120 + 60 = $430.
After the increases, the price will be given as follows:
S = 250 x 1.1 + 120 x 1.08 + 60 x 0.82 = $453.8.
The price increased. The percent change, given by the change divided by the initial value, is:
P = 23.8/430 x 100% = 5.5%.
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