The cost of developing Project T depends on the number of families that the development is...

 

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The cost of developing Project T depends on the number of families that the development is expected to accommodate. Analysts estimate that the cost (in millions of dollars) of building to accommodate x hundred families may be calculated using the following table. The base cost is the fixed cost of the land (independent of how many families are to be accommodated). Cost of Accommodating x Hundred Families (s millions) $8 $5 million per hundred $3 million per hundred $1 million per hundred plus an additional $3 million for extra cranes Base cost First 4 hundred families Next 6 hundred families i Over 1 thousand families Instructions: The Finance Committee would like you to do the following: (4) Write a piecewise-defined function for the cost C(x) of accommodating x hundred families. (b) Graph C(x). (c) State the type and x-coordinates of any discontinuities that C(x) might have. Justify your choice of discontinuity by calculating the relevant limits. The cost of developing Project T depends on the number of families that the development is expected to accommodate. Analysts estimate that the cost (in millions of dollars) of building to accommodate x hundred families may be calculated using the following table. The base cost is the fixed cost of the land (independent of how many families are to be accommodated). Cost of Accommodating x Hundred Families (s millions) $8 $5 million per hundred $3 million per hundred $1 million per hundred plus an additional $3 million for extra cranes Base cost First 4 hundred families Next 6 hundred families i Over 1 thousand families Instructions: The Finance Committee would like you to do the following: (4) Write a piecewise-defined function for the cost C(x) of accommodating x hundred families. (b) Graph C(x). (c) State the type and x-coordinates of any discontinuities that C(x) might have. Justify your choice of discontinuity by calculating the relevant limits.

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