Answer:
Results are below.
Step-by-step explanation:
To calculate the purchase for each month, we need to use the following formula:
Purchases= production + desired ending inventory - beginning inventory
Purchases January:
Production= 130,000
Desired ending inventory= (170,000*0.4)= 68,000
Beginning inventory= (40,000)
Total purchase in units= 158,000
Total purchase cost= 158,000*6= $948,000
Purchases February:
Production= 170,000
Desired ending inventory= (190,000*0.4)= 76,000
Beginning inventory= (68,000)
Total purchase in units= 178,000
Total purchase cost= 178,000*6= $1,068,000
Purchases March:
Production= 190,000
Desired ending inventory= (200,000*0.4)= 80,000
Beginning inventory= (76,000)
Total purchase in units= 194,000
Total purchase cost= 194,000*6= $1,164,000
Purchases April:
Production= 200,000
Desired ending inventory= (180,000*0.4)= 72,000
Beginning inventory= (80,000)
Total purchase in units= 192,000
Total purchase cost= 192,000*6= $1,152,000
Purchases May:
Production= 180,000
Desired ending inventory= (250,000*0.4)= 100,000
Beginning inventory= (72,000)
Total purchase in units= 208,000
Total purchase cost= 208,000*6= $1,248,000