The Garden Concrete Product Company can of produces four typesof concrete blocks. Each block is subj

The Garden Concrete Product Company can of produces four typesof concrete blocks. Each block is subjected to four processes:batch mixing, mould, inspection and yard drying. The plant managerwants to maximize profits during the next month. During the nextthirty days, he has 800 machine hours available on the batch mixer,1 000 hours on the

mould and 340 man-hours of inspection time. Yard-drying time isunconstrained.The production manager has formulated his problem asa linear program with the following initial

tableau, where X1, X2, X3, X4 represent the number of pallets ofthe four types of blocks. max 8×1+14×2+30×3+50×4

subject to

1×1+2×2+10×3+16×41.5×1+2×2+4×3+5×40.5×1+0.6×2+1×3+2×4

2. The 800 machine-hours capacity on the batch mixer is uncertain.For what range of machine hours

on the batch mixer will it remain feasible to produce blocks 1 and2?

3 A competitor located next door has offered the manager additionalbatch-mixing time at a rate

of R4,00 per hour. Should he accept this offer? Attached

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