PLEASE, PROVIDE FULL CALCULATION $($ANSWER MUST BE: a$)2240$; b$)3840$; c$)5600$; d$)46917\mathrm{.}20$; e$)46617\mathrm{.}00$; f$)47624\mathrm{.}95).$ Located $60$ miles from Chicago, Illinois, the Let There Be Light Lamp Shade Company designs and builds custom lamp shades and lamp globes. Historically, all its sales have come from customers in the United States and Canada. Recently, however, a contract with a Chinese customer required Let There Be Light to supply $8,100$ identical lights, with the terms of sale including delivery to the Port of Shanghai where the architectural firm would take possession. Let There Be Light designed a prototype cylindrical lamp shade measuring$28$ cm high and $28$ cm in diameter, to be packed into cartons measuring $30\mathrm{.}5$ cm by $30\mathrm{.}5$ cm by $30\mathrm{.}5$ cm$.($We refer to these shades as Style A$.)$ The Style A lamp shade would cost $4$ each to manufacture and weigh $4$ kg each; each carton cost $0\mathrm{.}60$ and weighed $0\mathrm{.}45$ kg$,$meaning that each loaded Style A carton weighed $4\mathrm{.}45$ kg$.$ In an effort to reduce packaging costs and enhance the company$$s commitment to environmental logistics$,$ Let There Be Light also developed two prototype conical lamp shades $($referred to as Style B and Style C$).$One advantage of conical shades is that they can be nested. The nested shades help protect each other, though a slight bit of padding is needed between the nested shades. The production costs for the conical lamp shades would be higher than those for the cylindrical shades. Let There Be Light determined the following information:

Style B lamp: Manufacturing cost of $4\mathrm{.}50$ per unit; shipped with six lamp shades per carton; carton dimensions $30\mathrm{.}5$ cm by $30\mathrm{.}5$ cm by $102$ cm; full carton weight is $28$ kg; carton cost of $2$ per unit $($including padding$).$Style C lamp: Manufacturing cost of $5$ per unit; shipped with ten lamp shades per carton; carton dimensions $30\mathrm{.}5$ cm by $30\mathrm{.}5$ cm by $122$ cm; full carton weight is $46$ kg; carton cost of $2\mathrm{.}25$ per unit $($including padding$).$The lamp shades would be loaded into intermodal containers and transported by rail to the Port of Vancouver. The transportation cost to Vancouver is $1,400$ per $40-$foot container, regardless of weight, although the total shipment weight cannot exceed $20$ tons per container. The interior dimensions of the intermodal container are $2\mathrm{.}4$ m wide by $2\mathrm{.}6$ m high by $12\mathrm{.}2$ m long.

Insurance costs are $2$ percent of the value of the shipment ready to be loaded aboard the ship in Vancouver $($i$.$e$.,$ all of the company$$s costs up to this point$).$Let There Be Light learned that the transportation cost from the Port of Vancouver to the Port of Shanghai is $800$ for a $40-$foot container.