document.write( "Question 187643This question is from textbook College Algebra A Graphing Solution
\n" ); document.write( ": I'm not sure how to do this problem. Thanks for your help.\r
\n" ); document.write( "\n" ); document.write( "#74. Production
\n" ); document.write( "An electronics company has fixed costs of $25,000 per month and a variable cost of $18.65 per 13 inch tv/vcr combination manufactured. (Fised costs are those that occur regardless of the level of production)\r
\n" ); document.write( "\n" ); document.write( "a) Write the total monthly costs C as a funciton of the number of units x produced.
\n" ); document.write( "b) Use a graphing utility to graph the cost funciton.
\n" ); document.write( "c) Use the graph from part b to approximate the number of units that can be produced per;month if total costs cannot exceed $200,000. Verify algebraically. Is this problem better solved algebraically or graphically? Explain.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #140756 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
An electronics company has fixed costs of $25,000 per month and a variable cost
\n" ); document.write( " of $18.65 per 13 inch tv/vcr combination manufactured.
\n" ); document.write( " (Fixed costs are those that occur regardless of the level of production)
\n" ); document.write( ":
\n" ); document.write( "a) Write the total monthly costs C as a function of the number of units x produced.
\n" ); document.write( "C = 18.65x + 25000
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "b) Use a graphing utility to graph the cost function.
\n" ); document.write( "Enter y = 18.65x + 25000, Scale: x:-2000,+15000. y:-50000, +300000
\n" ); document.write( "Should look like this:
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-3000%2C+15000%2C+-50000%2C+300000%2C+18.65x%2B25000%2C+200000%29+\"\r
\n" ); document.write( "\n" ); document.write( "c) Use the graph from part b to approximate the number of units that can be produced per month if total costs cannot exceed $200,000.
\n" ); document.write( ":
\n" ); document.write( "Green line represents 200000
\n" ); document.write( ":
\n" ); document.write( " Verify algebraically.
\n" ); document.write( "18.65x + 25000 =< 200000
\n" ); document.write( "18.65x =< 200000 - 25000
\n" ); document.write( "18.65x =< 175000
\n" ); document.write( "x = \"175000%2F18.65\"
\n" ); document.write( "x = 9383.37 ~ 9,383 units
\n" ); document.write( ";
\n" ); document.write( " Is this problem better solved algebraically or graphically? Explain.
\n" ); document.write( ":
\n" ); document.write( "I'll let you do that.
\n" ); document.write( "
\n" ); document.write( "
\n" );