An engineering firm specialises in converting standard trucks and vans in caravanettes. The conversion takes place in two workshops, the assembly shop where the structural alterations occur, and the finishing shop where the vehicles are fitted out. At present, the firm has a weekly capacity of 180 man-days in assembly shop and 135 man-days in finishing shop. Each truck requires 5 man- days to assemble, but each van only requires 2 man-days. Both vehicles require 3 man-days in the finishing shop. Each converted van earns £40 profit and each earns £200 profit. The firm has a contract to supply 10 converted trucks per week for export. Find the output combination that would maximise converted truck profit.
An engineering firm specialises in converting standard trucks and vans in caravanettes. The conversion takes place in two workshops, the assembly shop where the structural alterations occur, and the finishing shop where the vehicles are fitted out. At present, the firm has a weekly capacity of 180 man-days in assembly shop and 135 man-days in finishing shop. Each truck requires 5 man- days to assemble, but each van only requires 2 man-days. Both vehicles require 3 man-days in the finishing shop. Each converted van earns £40 profit and each earns £200 profit. The firm has a contract to supply 10 converted trucks per week for export. Find the output combination that would maximise converted truck profit.
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