Question

An electronics store has a current inventory of 50 stereo systems. The lowest priced stereo system in the store sells for $800, The lowest priced stereo system in the store sells for 800 dollars, and the highest priced stereo system sells for $3000. and the highest priced stereo system sells for 3000 dollars. Which of the following is the maximum amount of $3000 systems on hand Which of the following is the maximum amount of 3000 dollar systems on hand if the current inventory totals $111,000

Answer 1

Answer:

B) 32  

Explanation:

let H = number of expensive high price stereo systems

let L = number of less expensive low price stereo systems

H + L = 50

3,000H + 800L = 110,000

H = 50 - L  (now replace)

3,000 (50 - L) + 800L = 110,000

150,000 - 3,000L + 800L = 110,000

150,000 - 110,000 = 3,000L - 800L

40,000 = 2,200L

L = 40,000 / 2,200 = 18.18 ≈ 18 lower priced stereo systems

H = 50 - 18 = 32 higher priced stereo systems

(3,000 x 32) + (800 x 18) = 96,000 + 14,400 = 110,400

Even though the answer is not exact, if you had 33 high cost stereo systems, your inventory's cost = $112,600 which is $1,600 off