Amanufacturer sells a product for $10 per unit. the manufacturer's variable costs are $5 per unit and the fixed cost is $1000. how many units must the manufacturer produce each month to break even?
max 2a + 3b s. t. 1a + 2b s 6 5a + 3b

200 units

Step-by-step explanation:

The total income must be at least equal to the costs, and that is:

10*U = 5*U + 1000   Solving for U, which is the amount of units sold per month:

U = 1000/5 = 200 units.

To break even, the manufacturer must produce 200 units each month

Step-by-step explanation:

To break even, the amount of total cost must be the same as the amount of revenues.  

Total Cost is Fixed cost plus unitary variable cost multiplied by the produce quantity.  

Total cost= FC + vc*Q

Where ,

FC=Fixed cost

vc=unitary variable cos

Q=produce quantity

Revenue= Price * Q

Break even FC + vc*Q=Price * Q

Isolating Q

FC=(Price * Q)-(vc*Q)

FC=(Price-vc) * Q

Q= FC/(Price-vc)

Q= $1000/($10-$5)

Q= $1000/$5

Q=  200 units

none cuz there are no "following statements" regarding the question

step-by-step explanation:

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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