Gemstone processing company

Two types of gemstone products: ruby and jade

Gemstones requires time for gathering and smoothing. Unit profit and time constraints information are provided below:

$\backslash$table$[[,$Ruby,Jade,Resources$],[$Gem gathering time,$2$ days,$4$ days,$40$ days$],[$Gem smoothing,$4$ days,$2$ days,$6$ days$],[$Profit $($in $$1000),4,3,]]$

Upper and lower bounds for demand

Upper bound on the total demand for ruby: $8$ units

Lower bound on the total demand for jade: $3$ times ruby production $-202$d LP example

A two variable LP example

x:ruby, y: jade

$(1)$

$(2)0^0$

$(5)$

Gemstone Example: changes

in RHS of constraint $2$

What is the shadow price

$($round to $2$ digits$)?$

$6$

$1$

What is the sensitivity range

of the RHS$?$

$20,44$

$28,52$

$30,44$

$20,520,4$

$3$

$1$

$3-1.$ What is the allowable

increase?

$4$

$3-2.$ What is the allowable

decrease?

$55$

Gemstone Example: changes

in RHS of constraint $2$

What is the shadow price

$($round to $2$ digits$)?$

$6$

$1$

What is the sensitivity range

of the RHS$?$

$20,44$

$28,52$

$30,44$

$20,527$

$1$

$3-1.$ What is the allowable

increase of the RHS$?$

$8$

$1$

$3-2.$ What is the allowable

decrease of the RHS$?$

$.$ pm $8$:$32$

$.7$

$1$

$3-1.$ What is the allowable

increase of the RHS$?$

$8$

$1$

$3-2.$ What is Gemstone processing company

$57$

Two types of gemstone products: ruby and jade

Gemstones requires time for gathering and smoothing. Unit profit and time constraints information are provided below:

$\backslash$table$[[,$Ruby,Jade,Resources$],[$Gem gathering time,$2$ days,$4$ days,$40$ days$],[$Gem smoothing,$4$ days,$2$ days,$6$ days$],[$Profit $($in $$1000),4,3,]]$

Upper and lower bounds for demand

Upper bound on the total demand for ruby: $8$ units

Lower bound on the total demand for jade: $3$ times ruby production $-202$d LP example

A two variable LP example

x:ruby, y: jade

$(1)$

$(2)0^0$

$(5)3$

$1$

$3-1.$ What is the allowable

increase?

$4$

$1$

$3-2.$ What is the allowable

decrease? Gemstone Example: changes

in RHS of constraint $2$

What is the shadow price

$($round to $2$ digits$)?$

$6$

What is the sensitivity range

of the RHS$?$

$20,44$

$28,52$

$30,44$

$20,527$

$1$

$3-1.$ What is the allowable

increase of the RHS$?$

$8$

$1$

$3-2.$ What is the allowable

decrease of the RHS$?$

decrease of the RHS$?$