Question 733744
Let {{{ a }}} = pounds of flour needed
Let {{{ b }}} = pounds of cornmeal needed
Let {{{ C }}} = cost
{{{ C = 1.5a + 2.5b }}}
{{{ C < 9.5 }}}
{{{ a + b >= 4 }}}
{{{ 1.5a + 2.5b < 9.5 }}}
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(1) {{{ 3a + 5b < 19 }}}
(2) {{{ a + b >= 4 }}}
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I can see that {{{ a < 19/3 }}}, so
{{{ a < 6.33 }}}
and {{{ a >= 4 }}}
{{{ 4 <= a < 6.33 }}}
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and {{{ b < 19/5 }}}
{{{ b < 3.8 }}}
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Solutions:
So, I can say {{{ a = 5 }}} and {{{ b = 3/5 }}}
and, also {{{ a = 4 }}} and {{{ b = 6/5 }}}
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check:
{{{ a = 5 }}} and {{{ b = 3/5 }}}
(1) {{{ 3a + 5b < 19 }}}
(1) {{{ 3*5 + 5*(3/5) < 19 }}}
(1) {{{ 15 + 3 < 19 }}}
and
(2) {{{ a + b >= 4 }}}
(2) {{{ 5 + 3/5 >= 4 }}}
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 {{{ a = 4 }}} and {{{ b = 6/5 }}}
(1) {{{ 3a + 5b < 19 }}}
(1) {{{ 3*4 + 5*(6/5) < 19 }}}
(1) {{{ 12 + 6 < 19 }}}
and
(2) {{{ a + b >= 4 }}}
(2) {{{ 4 + 6/5 >= 4 }}}
OK