compressor.

$3.$ You have been asked to estimate the cost of $100$ prefabricated structures to be sold to a local school district. Each structure provides $1,000$ square feet of floor space, with $8-$feet ceilings. In $1999,$ you produced $70$ similar structures consisting of the same materials and having the same ceiling height, but each provided only $800$ square feet of floor space. The material cost for each structure was $$25,000$ in $1999,$ and the cost capacity factor is $0\mathrm{.}65.$ The cost index values for $1999$ and $2006$ are $200$ and $289,$ respectively. The estimated manufacturing cost for the first $1,000-$square$-$foot structure is $$12,000.$ Assume a learning curve of $88\%$ and use the cost of the $50$th structure as your standard time for estimating manufacturing cost. Estimate the total material cost and the total manufacturing cost for the $100$ prefabricated structures.