# MATH- LINEAR PROGRAMMING

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THE PENN-OHIO BUILDING COMPANY BUILDS AND SELLS TWO TYPES OF HOUSES:"CLEVELAND CASTLES" AND "PITTSBUTGH PALACES". CONTRACTS CALL FOR USING TOTALS OF AT LEAST 20,000 FT OF FRAMING LUMBER AND 8,000 CUBIC FT OF CONCRETE; AND AT LEAST \$9,000 FOR PROMOTION AND ADVERTISING. EACH CLEVELAND CASTLE REQUIRES 4,000 FT OF FRAMING LUMBER, 1,000 CUBIC FEET OF CONCRETE AND \$1,000 PROMOTION AND ADVERTISING. EACH PITTSBURGH PALACE REQUIRES 4,000 FEET OF FRAMING LUMBER, 2,000 CUBIC FEET OF CONCRETE AND \$3,000 PROMOTION AND ADVERTISING. ALL COSTS FOR EACH CASTLE COMES TO \$4,000 AND ON EACH PALACE COME TO \$6,000. WHAT IS THE MINIMUM TOTAL COST ACHIEVEABLE AND HOW WOULD I FIGURE THIS OUT STEP BY STE?

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