Answer:
Poinsettias records a loss of $118,125             
Fruit Trees records a profit of $92,325        
The company therefore records an overall $25,800 loss
NB: See the workings below see the assumption mad to allocate common expenses since none is given in the question. 
Explanation:
Variable costing income statement is a type of income statement that records variable cost separately first to determine the contribution margin and thereafter record the fixed cost which is further split into direct fixed expenses and common expenses.
The segmented income statement for Gorman Nurseries for the coming year can therefore be presented as follows:
Gorman Nurseries Inc. 
Segmented Income Statement 
For the coming year 
Particulars                        Poinsettias ($)     Fruit Trees ($)    Total ($)
Sales                                         970,000           3,100,000        4,070,000
Variable COGS                       (460,000)         (1,630,000)     (2,090,000)
Variable selling exp. (w1.)  <u>       (38,800)  </u>     <u>     (124,000) </u>    <u>    (162,800)  </u>
Contribution margin                 471,200            1,346,000      1,817,200
Direct fixed overhead             (160,000)          (200,000)       (360,000)
Direct fixed S $ Admn exp.  <u>   (146,000) </u>     <u>       (87,000) </u>    <u>    (233,000) </u>
Segment margin                       165,200           1,059,000      1,224,200
Common fixed overh. (w2a)     (176,077)           (623,923)     (800,000)
Common S $ Admn ex (w2b)  <u> (107,248)  </u>      <u>   (342,752) </u>    <u>  (450,000) </u>
Segment Net Income (loss)   <u> (118,125)  </u>       <u>       92,325 </u>    <u>    (25,800) </u>
Workings:
w1. Variable selling expenses = Sales * Commission percentage
Poinsettias = $970,000 * 4% = $38,8000
Fruit Trees = $3,100,000 * 4% = $124,000
w2. Allocation of common expenses using the following assuptions:
a) Use cost of goods sold (COGS) to allocate Common fixed overhead:
Poinsettias = (460,000 / 2,090,000) * $800,000 = $176,077
Fruit Trees = (1,630,000 / 2,090,000) * $800,000 = $623,923
b) Use common selling and administrative expense using Sales:
Poinsettias = (970,000 / 4,070,000) * $450,000 = $176,077
Fruit Trees = (3,100,000 / 4,070,000) * $450,000 = $623,923