Problem $5$:

The gradations of Aggregates $A,B,$ and C and the required specification limits are given in the

following table $($Table $1).$ Determine if there exists a combination of these three aggregates such

that the blend falls within the specification limits$.$

Table $1$

Table $2$ shows the gradation of three other aggregates D$,$ E$,$ and F$.$ Determine if there exists a

combination of these three aggregates such that the blend falls within the specification limits$.$

Table $2$

If any combination of aggregates meeting the specification limits from each of the tables above

exists, plot each individual gradation, the gradation limits$,$ and the gradation of the blend in the

$0\mathrm{.}45$ power chart $($a chart is provided in the following page$)($please$,$ be specific about what table

you are using. If you can find a combined gradation within the specification limits for each

Table, then prepare two separate figures. In your answer, indicate the proportion used of each

aggregate to produce the blend and the percent passing each sieve size for the resulting blend.

$($Note: points in the chart should be joined by straight lines. Use of a spreadsheet is acceptable.

Use different line styles and label them appropriately$).$