A bottle manufacturing company pays $4,312 a month in utilities, and the average production cost per bottle is $0.65. The revenu
e that the company earns after selling x bottles is given by the function B(x) = 4.5x. The company owners are trying to cut costs in order to make a profit selling fewer bottles. Select the cost description and revenue function that would produce a profit after selling the fewest number of bottles.
The comp;any can cut the cost of production per bottle to $0.60.
The revenue function would then be defines as B(x) = 5.5x
The comp;any can cut the cost of production per bottle to $0.55.
The revenue function would then be defines as B(x) = 4.75x
The comp;any can cut the cost of production per bottle to $0.50.
The revenue function would then be defines as B(x) = 5x
Let x-----------> <span>number of bottles produced in a month </span> we know that
revenue <span>B(x) = 4.5x.
</span><span>expenses </span>E(x)=0.65x+$4312
equals revenue and expenses 4.5x=0.65x+4312-------> 4.5x-0.65x=4312----------> x=4312/3.85
x=1120 bottles (minimum amount of bottles to start getting monthly benefits ) case a)<span>The company can cut the cost of production per bottle to $0.60. The revenue function would then be defines as B(x) = 5.5x
</span>Revenue B(x) = 5.5x.
expenses E(x)=0.60x+$4312
equals revenue and expenses 5.5x=0.60x+4312-------> 5.5x-0.60x=4312----------> x=4312/4.9
x=880 bottles case b)<span>The company can cut the cost of production per bottle to $0.55. The revenue function would then be defines as B(x) = 4.75x</span>
Revenue B(x) = 4.75x.
expenses E(x)=0.55x+$4312
equals revenue and expenses 4.75x=0.55x+4312-------> 4.75x-0.55x=4312----------> x=4312/4.2
x=1026.67 bottles case c) The company can cut the cost of production per bottle to $0.50.<span>The revenue function would then be defines as B(x) = 5x </span> Revenue B(x) = 5x.
expenses E(x)=0.50x+$4312
equals revenue and expenses 5x=0.50x+4312-------> 5x-0.50x=4312----------> x=4312/4.5
x=958.22 bottles
<span>the fewest number of bottles is the case a) 880 bottles </span> the answer is the fewest number of bottles is 880 bottles when The company can cut the cost of production per bottle to $0.60. The revenue function would then be defines as B(x) = 5.5x
Step-by-step explanation: If Tom finished the 100 meter race in 12.54 seconds that means he would have been going at an average of 7.97 seconds and if Sammy is finishing a 100 meter race in 25.98 seconds he would have been going at an average of 3.84. Therefore Sammy is going at a faster average.
The expressions in which the numbers, or variables, or both, are connected by operational signs (+, - etc.) are called algebraic expressions. For example 5, 4x, a+b, x−y.
