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Peter & Sons. has received an enquiry from a customer for the supply of 500 units of a new product, product X690. Negotiations on the

Peter & Sons. has received an enquiry from a customer for the supply of 500 units of a new product, product X690. Negotiations on the final price to charge the customer are in progress and the sales manager has asked you to supply relevant cost information. The following information is available:

  1. Each unit of product X690 requires the following raw materials:
    1. Raw material type
      1. X : 4 kg
      2. Y : 6 kg
  2. The company has 5,000 kg of material X currently in stock. This was purchased last year at a cost of

$7 per kg. If not used to make product X690, this stock of X could either be sold for $7.50 per kg or converted at a cost of $1.50 per kg, so that it could be used as a substitute for another raw material, material Z, which the company requires for other production. The current purchase price per kilogram for materials is $9.50 for material Z and $8.25 per kg for material X.

  1. There are 10,000 kilograms of raw material Y in inventory, valued on a FIFO basis at a total cost of

$142,750. Of this current inventory, 3,000 kilograms were purchased six months ago at a cost of $13.75 per kg. The rest of the inventory was purchased last month. Material Y is used regularly in normal production work. Since the last purchase of material Y a month ago, the company has been advised by the supplier that the price per kilogram has been increased by 4%.

  1. Each unit of product X690 requires the following number of labor hours in its manufacture:
    1. Type of labor:
      1. Skilled: 5 hours
      2. Unskilled: 3 hours (Paid @ $ 6 per hour)
  1. There is a shortage of skilled labor, so that if production of X690 goes ahead it will be necessary to transfer skilled workers from other work to undertake it. The other work on which skilled workers are engaged at present is the manufacture of product B16. The selling price and variable cost information for B16 are as follows:

$/unit

$/unit

Selling price

100

Less: variable costs of production

Skilled labour (3 hours)

24

Other variable costs

31

55

Contribution

45

  1. The company has a surplus of unskilled workers who are paid a fixed wage for a 37-hour week. It is estimated that there are 900 hours of unused unskilled labor time available during the period of the contract. The balance of the unskilled labor requirements could be met by working overtime, which is paid at time and a half.
  1. The company absorbs production overheads by a machine hour rate. This absorption rate is $22.50 per hour, of which $8.75 is for variable overheads and the balance is for fixed overheads. If production of product X690 is undertaken, it is estimated that an extra $4,000 will be spent on fixed costs. Spare machining capacity is available and each unit of X690 will require two hours of machining time in its manufacture using the existing equipment. In addition, special finishing machines will be required for two weeks to complete the X690. These machines will be hired at a cost of $2,650 per week, and there will be no overhead costs associated with their use.
  1. Cash spending of $3,250 has been incurred already on development work for the production of X690. It is estimated that before production of the X690 begins, another $1,750 will have to be spent on development, making a total development cost of $5,000.

Requirement: Calculate the minimum price that the company should be prepared to accept for the 500 units of product X690.

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