INPUTS$/$OUTPUTS

INTERNAL & PURCHASED INPUTS CHIPPING $($IN$)$ CHIPPING $($OUT$)$ KRAFT PULPING $($IN$)$ KRAFT PULPING $($OUT$)$ SEMI$-$CHEMICAL PULPING $($IN$)$ SEMI$-$CHEMICAL PULPING $($OUT$)$ BLEACHING $($IN$)$ BLEACHING $($OUT$)$ BEATING $($IN$)$ BEATING $($OUT$)$ MACHINING $($IN$)$

SUBTOTAL HARDWOOD $0000000000$

GRADE $1$ HARDWOOD $0$

PURCHASED $0$

INTERNAL

GRADE $2$ HARDWOOD $00$

PURCHASED $0$

INTERNAL

SOFTWOOD $00$

PURCHASED

INTERNAL

SOFTWOOD PUR. KRAFT PULP $0$

TOTALS $000000000000$

PROCESS CAPACITY $6,00,0004,00,0003,00,0004,90,0004,00,0004,85,000$

SLACK $6,00,0004,00,0003,00,0004,90,0004,00,0004,85,000$

PRODUCT OUTPUTS

BOOK PAPER

COARSE PAPER

CONTAINER BOARD

FOOD BOARD

PROFIT:

Hardwood In $=0$

Softwood In $=0$

Total$=0$

Capacity $=4,00,000$

Slack$=4,00,000$

Hardwood In $=0$ Hardwood In $=0$

Softwood In $=0$ Softwood In $=0$ Hardwood In $=0$ Hardwood In $=0$

Total$=0$ Total$=0$ Softwood In $=0$ Softwood In $=0$

Capacity $=6,00,000$ Capacity $=4,90,000$ Total$=0$ Total$=0$

Slack$=6,00,000$ Slack$=4,90,000$ Capacity $=4,00,000$ Capacity $=4,85,000$

Slack$=4,00,000$ Slack$=4,85,000$

Hardwood In $=0$

Softwood In $=0$

Total$=0$

Capacity $=3,00,000$

Slack$=3,00,000$

OPERATIONS RESEARCH I

EXTERNAL WOOD TYPE IN TONS PER YEAR COST COST

Hardwood $-$ grade $1125,000$ tons per year $$19$ per ton $$25\mathrm{.}64$ per ton

Hardwood $-$ grade $2200,000$ tons per year $$21\mathrm{.}10$ per ton $$22\mathrm{.}50$ per ton

Softwood $160,000$ tons per year $$20$ per ton $ $20\mathrm{.}95$ per ton

When required, up to $30,000$ tons per year of Softwood Kraft Pulp can be purchased at a cost of $$59/$ton$.$ This purchased pulp cannot be bleached and is used as an input into the beating process.

The following process yields $($tons output$/$tons input$)$ and capacities $($tons input$/$year$)$ were provided by the operations manager:

YIELDS

PROCESS HARDWOOD $-1$ HARDWOOD $-2$ SOFTWOOD CAPACITIES

Chipping $\mathrm{.}954\mathrm{.}93\mathrm{.}87600,000$

Kraft Pulping $\mathrm{.}92\mathrm{.}95\mathrm{.}88400,000$

Semi$-$ Chemical Pulping $\mathrm{.}765\mathrm{.}645----$