Members of the wrestling team are planning to sell pre-ordered programs at matches. The cost to print the programs is \$150$150dollar sign, 150 plus \$0.50$0.50dollar sign, 0, point, 50 per program. They plan to sell each program for \$2$2dollar sign, 2. If profit is the amount of money earned from selling programs minus the expenses of printing the programs, how many programs must they sell to make a profit of at least \$500$500dollar

Question

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valetta valetta · Answer 1 · 2020-01-07T08:02:03+01:00

Answer:

at least 434 programs

Explanation:

Data provided in the question:

Cost of printing the programs = $150 + 0.50/program

Selling cost of the program = $2

Desired profit = at least $500

Let the number of programs sold to earn profit of $500 be 'x'

Now,

Total cost = $150 + $0.50x

Total revenue = $2x

Profit = Total revenue - Total cost

$500 ≤ $2x - ( $150 + $0.50x )

or

$500 ≤ $2x - $0.50x - $150

or

$1.5x ≤ $650

or

x ≤ 433.33

or

x ≤ 434