Problem $1$ What are the main three objectives to meet when designing a concrete mix?

Problem $2$ Using ACI $211$ to design a mix for an exterior superstructure wall exposed to freeze$-$thaw cycles. The $28-$day compressive strength should be $4,000$ lb$/$in$2.$ The slump should be between $1$ to $2$ and the maximum aggregate size should not exceed $1$ in$.$

The properties of the materials are as follows

$$ Cement: Type I, specific gravity $=3\mathrm{.}15$

$$ Coarse aggregate: bulk specific gravity $($SSD$)=2\mathrm{.}70$; absorption capacity $=1\mathrm{.}2\%$; dry$-$rodded unit weight $=110$ lb$/$ft$3,$ surface moisture $=2\%.$

$$ Fine aggregate: bulk specific gravity $($SSD$)=2\mathrm{.}65$; absorption capacity $=1\mathrm{.}3\%$; fineness modulus $=2\mathrm{.}60$; surface moisture $=1\mathrm{.}5\%$