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10 Nov 2019
Practice Problems Lesson 2-Functions and Function Operations 11) Leonard has started a new business making cartoon bedspreads. His monthly expenses are $1322. Each bedspread costs $8.50 to produce 8) Complete the table below showing Leonard's business costs as a function of the number of bedspreads he makes. n (number of bedspreads C(m) (Cost of n bedspreads) 100 200 400 b) Leonard is selling each bedspread for $17.50. Complete the table below showing Leonard's revenue as a function of the number of bedspreads he sells. 100 200 300 400 n (number of bedspreads R(n) (Revenue for n bedspreads) o The proft fhom Le onamn' busines can fit from Leonard's business can be found by subtracting the cost function from the revenue function. Complete the table below showing Leonard's profit as a function of the number of bedspreads he sells. 0100 300 I 400 200 n (number of bedspreads) P(n) (Profit for n bedspreads) d) Using the information from parts a) through c), create algebraic functions for C, R and P. C(n) R(n) P(n)- e) Using the table from part c), make a rough estimate for the number of bedspreads Leonard needs to sell for his business to break even. (Breaking even means profit-0) Using your formula for profit, P, determine the exact number of bedspreads Leonard needs to sell for his business to break even. (Breaking even means profit 0) f) Page 80
Practice Problems Lesson 2-Functions and Function Operations 11) Leonard has started a new business making cartoon bedspreads. His monthly expenses are $1322. Each bedspread costs $8.50 to produce 8) Complete the table below showing Leonard's business costs as a function of the number of bedspreads he makes. n (number of bedspreads C(m) (Cost of n bedspreads) 100 200 400 b) Leonard is selling each bedspread for $17.50. Complete the table below showing Leonard's revenue as a function of the number of bedspreads he sells. 100 200 300 400 n (number of bedspreads R(n) (Revenue for n bedspreads) o The proft fhom Le onamn' busines can fit from Leonard's business can be found by subtracting the cost function from the revenue function. Complete the table below showing Leonard's profit as a function of the number of bedspreads he sells. 0100 300 I 400 200 n (number of bedspreads) P(n) (Profit for n bedspreads) d) Using the information from parts a) through c), create algebraic functions for C, R and P. C(n) R(n) P(n)- e) Using the table from part c), make a rough estimate for the number of bedspreads Leonard needs to sell for his business to break even. (Breaking even means profit-0) Using your formula for profit, P, determine the exact number of bedspreads Leonard needs to sell for his business to break even. (Breaking even means profit 0) f) Page 80
Lelia LubowitzLv2
26 Aug 2019