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$\backslash$table$[[2,$Scientific approach to decision making.,Quantitative analysis$],[3,\backslash$table$[[$means that if production of $1$ unit of a product$],[$uses $4$ hours, production of $10$ units would use $40$ hours.$]],$additvity$]]$

Ouestion $(2)$: Solve the following LP problem: $(7$ marks$)$

Graphically analyze the following problem:

Maximize profit $=$$$4x+$$$6Y$

Subject to:

$6x+4Y24$ hours

$x+2Y8$ hours

Required $-$ Use graph paperss

a$.$ Solve this linear program graphically and illustrate the feasible region. $(3$ marks$)$ fs

b$.$ Determine the optimal quantities of $x,Y$ to achieve maximum profit. $(2$ marks$)($use the comer point equation$).$

c$.$ Calculate the profit value $(1$ mark$)$

d$.$ Calculate the Slack for constraint $(1).(1$ mark$)$

$2$

ge $2$ of $3$

$429$ words

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$117\%$