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A manufacturer of handcrafted wine racks has determined that the cost to produce x units per...
To produce batteries, a manufacturer uses x units of chemical A and y units of chemical...
To produce batteries, a manufacturer uses x units of chemical A and y units of chemical B. The amount P of pollution washed into the cleaning water is given by the pollution function P(x, y) = 0.05x2 +0.009xy +0.07y2 If the company is currently using 10 units of chemical A and 19 units of chemical B, find the rate at which the amount of pollution washed into the cleaning water is changing as the number of units of chemical B...
A manufacturer of widgets has fixed costs of $1200 per month, and the variable cost is...
A manufacturer of widgets has fixed costs of $1200 per month, and the variable cost is $49 per widget (so it costs $49 to produce 1 widget). Let N be the number of widgets produced in a month. (a) Find a formula for the manufacturer's total cost C as a function of N. C(N) - 49N+1200 (b) The highest price p, in dollars, of a widget at which N widgets can be sold is given by the formula p =...
Previous Problem List Next (1 point) In a certain factory, the cost to produce q items...
Previous Problem List Next (1 point) In a certain factory, the cost to produce q items during a single production run is estimated to be C(q) = 50q+0.005q² + 1000 (dollars). The factory utilizes 12-hour production runs and it is estimated that the number of units that can be produced in the first t hours of a production run is given by: 300+ if 0 <t<4 g(t) = 260t + 160 if 4 < t < 8 292t - 2+2...
At a certain factory, the total cost of manufacturing q units is C(q) = 0.4q2 +...
At a certain factory, the total cost of manufacturing q units is C(q) = 0.4q2 + q +800 dollars. It has been determined that approximatelyq (t) = 12 + 60t units are manufactured during the first 1 hours of a production run. Compute the rate at which the total manufacturing cost is changing with respect to time 3 hours after production begins. Three hours after production begins, cost is changing at the rate of approximately SI per hour. Round your...
A manufacturer produces 100 units per month with fixed costs of $3030 per month. For every...
A manufacturer produces 100 units per month with fixed costs of $3030 per month. For every 100 units produced there are 4 faulty items to dispose of, resulting in 96% of production being acceptable Production cost $90 per unit and disposal is free. The 4 units made x $90-$360 The cost formula for decision-making would look like this: $3,030 $360+$90 (units produced)(.96) True O False
The cost function for production of a commodity is C(x) = 335 + 24% - 0.05x2...
The cost function for production of a commodity is C(x) = 335 + 24% - 0.05x2 + 0.0006x3. (a) Find C'(100) Interpret c'(100) This is the rate at which costs are increasing with respect to the production level when x = 100. This is the cost of making 100 items. This is the amount of time, in minutes, it takes to produce 100 items. This is the rate at which the production level is decreasing with respect to the cost...
The total cost C for a manufacturer during a given time period is a function of...
The total cost C for a manufacturer during a given time period is a function of the number N of items produced during that period. To determine a formula for the total cost, we need to know the manufacturer's fixed costs (covering things such as plant maintenance and insurance), as well as the cost for each unit produced, which is called the variable cost. To find the total cost, we multiply the variable cost by the number of items produced...
Management at the Kerby Corporation has determined the following aggregated demand schedule (in units): Month 1...
Management at the Kerby Corporation has determined the following aggregated demand schedule (in units): Month 1 2 3 4 Demand 500 800 1,000 1,400 Month 5 6 7 8 Demand 2,000 3,000 2,700 1,500 Month 9 10 11 12 Demand 1,400 1,500 2,000 1,200 An employee can produce an average of 10 units per month. Each worker on the payroll costs $2,000 in regular-time wages per month. Undertime is paid at the same rate as regular time. In accordance with...
Paradise Corp. has determined a standard labor cost per unit of $8.00 (1 hour * $8.00...
Paradise Corp. has determined a standard labor cost per unit of $8.00 (1 hour * $8.00 per hour). Last month, Paradise incurred 1,200 direct labor hours for which it paid $9,000. The company also produced and sold 1,250 units during the month. Calculate the direct labor rate, efficiency, and spending variances. (Round your intermediate calculations to 2 decimal places. Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable.) Direct Labor Rate Variance Direct Labor Efficiency...
World Company expects to operate at 60% of its productive capacity of 28,000 units per month....
World Company expects to operate at 60% of its productive
capacity of 28,000 units per month. At this planned level, the
company expects to use 7,560 standard hours of direct labor.
Overhead is allocated to products using a predetermined standard
rate of 0.450 direct labor hour per unit. At the 60% capacity
level, the total budgeted cost includes $22,680 fixed overhead cost
and $60,480 variable overhead cost. In the current month, the
company incurred $63,920 actual overhead and 7,130 actual...
To produce batteries, a manufacturer uses x units of chemical A and y units of chemical B. The amount P of pollution washed into the cleaning water is given by the pollution function P(x, y) = 0.05x2 +0.009xy +0.07y2 If the company is currently using 10 units of chemical A and 19 units of chemical B, find the rate at which the amount of pollution washed into the cleaning water is changing as the number of units of chemical B...
A manufacturer of widgets has fixed costs of $1200 per month, and the variable cost is $49 per widget (so it costs $49 to produce 1 widget). Let N be the number of widgets produced in a month. (a) Find a formula for the manufacturer's total cost C as a function of N. C(N) - 49N+1200 (b) The highest price p, in dollars, of a widget at which N widgets can be sold is given by the formula p =...
Previous Problem List Next (1 point) In a certain factory, the cost to produce q items during a single production run is estimated to be C(q) = 50q+0.005q² + 1000 (dollars). The factory utilizes 12-hour production runs and it is estimated that the number of units that can be produced in the first t hours of a production run is given by: 300+ if 0 <t<4 g(t) = 260t + 160 if 4 < t < 8 292t - 2+2...
At a certain factory, the total cost of manufacturing q units is C(q) = 0.4q2 + q +800 dollars. It has been determined that approximatelyq (t) = 12 + 60t units are manufactured during the first 1 hours of a production run. Compute the rate at which the total manufacturing cost is changing with respect to time 3 hours after production begins. Three hours after production begins, cost is changing at the rate of approximately SI per hour. Round your...
A manufacturer produces 100 units per month with fixed costs of $3030 per month. For every 100 units produced there are 4 faulty items to dispose of, resulting in 96% of production being acceptable Production cost $90 per unit and disposal is free. The 4 units made x $90-$360 The cost formula for decision-making would look like this: $3,030 $360+$90 (units produced)(.96) True O False
The cost function for production of a commodity is C(x) = 335 + 24% - 0.05x2 + 0.0006x3. (a) Find C'(100) Interpret c'(100) This is the rate at which costs are increasing with respect to the production level when x = 100. This is the cost of making 100 items. This is the amount of time, in minutes, it takes to produce 100 items. This is the rate at which the production level is decreasing with respect to the cost...
Management at the Kerby Corporation has determined the following aggregated demand schedule (in units): Month 1 2 3 4 Demand 500 800 1,000 1,400 Month 5 6 7 8 Demand 2,000 3,000 2,700 1,500 Month 9 10 11 12 Demand 1,400 1,500 2,000 1,200 An employee can produce an average of 10 units per month. Each worker on the payroll costs $2,000 in regular-time wages per month. Undertime is paid at the same rate as regular time. In accordance with...
Paradise Corp. has determined a standard labor cost per unit of $8.00 (1 hour * $8.00 per hour). Last month, Paradise incurred 1,200 direct labor hours for which it paid $9,000. The company also produced and sold 1,250 units during the month. Calculate the direct labor rate, efficiency, and spending variances. (Round your intermediate calculations to 2 decimal places. Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable.) Direct Labor Rate Variance Direct Labor Efficiency...
World Company expects to operate at 60% of its productive
capacity of 28,000 units per month. At this planned level, the
company expects to use 7,560 standard hours of direct labor.
Overhead is allocated to products using a predetermined standard
rate of 0.450 direct labor hour per unit. At the 60% capacity
level, the total budgeted cost includes $22,680 fixed overhead cost
and $60,480 variable overhead cost. In the current month, the
company incurred $63,920 actual overhead and 7,130 actual...
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