7
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Question 7 • Financial Math

A farmer sells organic apples at a local market. The fixed costs are $⁢800 per season, and the variable cost is $⁢1 per kilogram of apples sold. The revenue is $⁢0 when 0 kg or 160 kg of apples are sold due to market limitations. The maximum revenue occurs when 80 kg of apples are sold. Which system of equations represents the linear cost function C⁡(x) and the quadratic revenue function R⁡(x) , where x represents the kilograms of apples sold?

Answer
A
cap c times x is equal to 800 x plus 1 cap r times x is equal to negative x times open paren x minus 80 close paren
B
cap c times x is equal to 800 x plus 1 cap r times x is equal to negative x times open paren x minus 160 close paren
C
cap c times x is equal to x plus 800 cap r times x is equal to negative x times open paren x minus 80 close paren
D
cap c times x is equal to x plus 800 cap r times x is equal to negative x times open paren x minus 160 close paren
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A farmer sells organic apples at a local market…